المؤلفون: Tami, Abdelkader

مصطلحات موضوعية: keyword:biharmonic operator, keyword:elliptic problems, keyword:nonsmooth boundaries, keyword:uniform singularity estimates, keyword:Sobolev spaces, msc:35B40, msc:35B45, msc:35J25, msc:35J40, msc:35J75, msc:35Q99

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/147846

المؤلفون: Sickel, Winfried

مصطلحات موضوعية: keyword:Sobolev spaces, Besov space, Lizorkin-Triebel spaces, atomic decomposition, homogeneous spaces, inhomogeneous spaces, embeddings, compact embeddings, traces, msc:46E35

وصف الملف: application/pdf

الاتاحة: http://hdl.handle.net/10338.dmlcz/702641

المؤلفون: Kolyada, Viktor I.

مصطلحات موضوعية: keyword:Rearrangements, keyword:embeddings, keyword:modulus of continuity, keyword:Sobolev spaces, keyword:Besov spaces, keyword:mixed norms, msc:46E30, msc:46E35

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/702492

المؤلفون: Franchi, Bruno

مصطلحات موضوعية: keyword:Carnot-Carathéodory metrics, keyword:Carnot groups, keyword:Poincaré inequality, keyword:hypersurfaces, keyword:rectifiability, keyword:Sobolev spaces, keyword:BV spaces, msc:22E25, msc:28A75, msc:28A78, msc:42B25, msc:46E35

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/702484

المؤلفون: Li, Hongliang, Sun, Quinxiu

مصطلحات موضوعية: keyword:Lorentz spaces, keyword:Sobolev spaces, keyword:Besov spaces, keyword:Sobolev embedding, keyword:rearrangement invariant spaces, msc:42B35, msc:46E35

وصف الملف: application/pdf

Relation: mr:MR2782762; zbl:Zbl 1224.46065; reference:[1] Bastero, J., Milman, M., Blasco, F. Ruiz: A note on $L(\infty,q)$ spaces and Sobolev embeddings.Indiana Univ. Math. J. 52 (2003), 1215-1230. MR 2010324, 10.1512/iumj.2003.52.2364; reference:[2] Bennett, C., Sharpley, R.: Interpolation of Operators. Pure and Applied Mathematics, Vol. 129.Academic Press Boston (1988). MR 0928802; reference:[3] Besov, O. V., Il'in, V. P., Nikol'skij, S. M.: Integral Representation of Functions and Imbedding Theorems, Vol. 1-2.V. H. Winston/John Wiley & Sons Washington, D. C./New York-Toronto-London (1978).; reference:[4] Boyd, D. W.: The Hilbert transform on rearrangement-invariant spaces.Can. J. Math. 19 (1967), 599-616. Zbl 0147.11302, MR 0212512, 10.4153/CJM-1967-053-7; reference:[5] Carro, M. J., Raposo, J. A., Soria, J.: Recent Developments in the Theory of Lorentz Spaces and Weighted Inequalities. Mem. Amer. Math. Soc. Vol. 877.(2007). MR 2308059; reference:[6] Kolyada, V. I.: On an embedding of Sobolev spaces.Mat. Zametki 54 (1993), 48-71; English transl.: Math. Notes {\it 54}, (1993), 908-922. Zbl 0821.46043, MR 1248284; reference:[7] Kolyada, V. I.: Rearrangement of functions and embedding of anisotropic spaces of Sobolev type.East J. Approx. 4 (1998), 111-199. Zbl 0917.46019, MR 1638343; reference:[8] Kolyada, V. I., Pérez, F. J.: Estimates of difference norms for functions in anisotropic Sobolev spaces.Math. Nachr. 267 (2004), 46-64. MR 2047384, 10.1002/mana.200310152; reference:[9] Kudryavtsev, L. D., Nikol'skij, S. M.: Spaces of Differentiable Functions of Several Variables and Embedding Theorems. Current problems in mathematics. Fundamental directions.Russian Itogi nauki i Techniki, Akad. Nauk SSSR Moscow 26 (1988), 5-157. MR 1178111; reference:[10] Martín, J.: Symmetrization inequalities in the fractional case and Besov embeddings.J. Math. Anal. Appl. 344 (2008), 99-123. MR 2416295, 10.1016/j.jmaa.2008.02.028; reference:[11] Milman, M., Pustylnik, E.: On sharp higher order Sobolev embeddings.Commun. Contemp. Math. 6 (2004), 495-511. Zbl 1108.46029, MR 2068850, 10.1142/S0219199704001380; reference:[12] Nikol'skij, S. M.: Approximation of Functions of Several Variables and Imbedding Theorems.Springer Berlin-Heidelberg-New York (1975). Zbl 0307.46024; reference:[13] Lázaro, F. J. Pérez: A note on extreme cases of Sobolev embeddings.J. Math. Anal. Appl. 320 (2006), 973-982. MR 2226008, 10.1016/j.jmaa.2005.07.019; reference:[14] Lázaro, F. J. Pérez: Embeddings for anisotropic Besov spaces.Acta Math. Hung. 119 (2008), 25-40. MR 2400793, 10.1007/s10474-007-6235-y; reference:[15] Sobolev, S. L.: On the theorem of functional analysis.Mat. Sb. 4(46) (1938), 471-497.; reference:[16] Soria, J.: Lorentz spaces of weak-type.Quart. J. Math. Oxf., II. Ser. 49 (1998), 93-103. Zbl 0943.42010, MR 1617343, 10.1093/qmathj/49.1.93; reference:[17] Triebel, H.: Theory of Function Spaces.Birkhäuser Basel (1983). Zbl 0546.46028, MR 0781540; reference:[18] Triebel, H.: Theory of Function Spaces II.Birkhäuser Basel (1992). Zbl 0763.46025, MR 1163193

الاتاحة: http://hdl.handle.net/10338.dmlcz/141521

المؤلفون: Vybíral, Jan, Sickel, Winfried

مصطلحات موضوعية: keyword:Sobolev spaces of dominating mixed smoothness, keyword:Besov and Lizorkin-Triebel classes of dominating mixed smoothness, keyword:Fourier analytic characterizations, keyword:atomic decompositions, keyword:traces on hyperplanes in oblique position, msc:42B35, msc:46E35

وصف الملف: application/pdf

Relation: mr:MR2357589; zbl:Zbl 1174.42027; reference:[1] D. R. Adams and L. I. Hedberg: Function spaces and potential theory.Springer, Berlin, 1996. MR 1411441; reference:[2] T. I. Amanov: Spaces of differentiable functions with dominating mixed derivatives.Nauka Kaz. SSR, Alma-Ata, 1976. (Russian) MR 0860038; reference:[3] D. B. Bazarkhanov: Characterizations of the Nikol’skii-Besov and Lizorkin-Triebel function spaces of mixed smoothness.Trudy Mat. Inst. Steklov 243 (2003), 53-65. Zbl 1090.46025, MR 2049462; reference:[4] H.-J. Bungartz and M. Griebel: Sparse grids.Acta Numerica (2004), 1–123. MR 2249147; reference:[5] M. Frazier and B. Jawerth: Decomposition of Besov spaces.Indiana Univ. Math. J. 34 (1985), 777–799. MR 0808825, 10.1512/iumj.1985.34.34041; reference:[6] M. Frazier and B. Jawerth: A discrete transform and decomposition of distribution spaces.J. Funct. Anal. 93 (1990), 34–170. MR 1070037, 10.1016/0022-1236(90)90137-A; reference:[7] I. W. Gelman and W. G. Maz’ya: Abschätzungen für Differentialoperatoren im Halbraum.Akademie-Verlag, Berlin, 1981. MR 0644480; reference:[8] M. Griebel, P. Oswald and T. Schiekofer: Sparse grids for boundary integral equations.Numer. Math 83 (1999), 279–312. MR 1712687, 10.1007/s002110050450; reference:[9] P. Grisvard: Commutativité de deux fonctuers d’interpolation et applications.J. Math. Pures Appl. 45 (1966), 143–290. MR 0221309; reference:[10] L. I. Hedberg and Y. Netrusov: An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation.Memoirs of the AMS (to appear). MR 2326315; reference:[11] R. Hochmuth: A $\varphi $-transform result for spaces with dominating mixed smoothness properties.Result. Math. 33 (1998), 106–119. Zbl 0905.46017, MR 1610139, 10.1007/BF03322075; reference:[12] P. I. Lizorkin and S. M. Nikol’skij: Classification of differentiable functions on the basis of spaces with dominating mixed smoothness.Trudy Mat. Inst. Steklov 77 (1965), 143–167. MR 0192223; reference:[13] S. M. Nikol’skij: On boundary properties of differentiable functions of several variables.Dokl. Akad. Nauk SSSR 146 (1962), 542–545. MR 0143064; reference:[14] S. M. Nikol’skij: On stable boundary values of differentiable functions of several variables.Mat. Sbornik 61 (1963), 224–252. MR 0156182; reference:[15] P.-A. Nitsche: Sparse approximation of singularity functions.Constr. Approx. 21 (2005), 63–81. Zbl 1073.65118, MR 2105391; reference:[16] M. C. Rodríguez Fernández: Über die Spur von Funktionen mit dominierenden gemischten Glattheitseigenschaften auf der Diagonale, Ph.D-thesis, Jena.1997.; reference:[17] H.-J. Schmeisser: Vector-valued Sobolev and Besov spaces.Teubner-Texte zur Math. 96 (1987), 4-44. Zbl 0666.46039, MR 0932287; reference:[18] H.-J. Schmeisser and H. Triebel: Topics in Fourier analysis and function spaces.Wiley, Chichester, 1987. MR 0891189; reference:[19] G. Sparr: Interpolation of several Banach spaces.Ann. Mat. Pura Appl. 99 (1974), 247–316. Zbl 0282.46022, MR 0372641, 10.1007/BF02413728; reference:[20] H. Triebel: A diagonal embedding theorem for function spaces with dominating mixed smoothness properties.Banach Center Publications, Warsaw 22 (1989), 475–486. Zbl 0707.46020, MR 1097217; reference:[21] H. Triebel: Fractals and Spectra.Birkhäuser, Basel, 1997. Zbl 0898.46030, MR 1484417; reference:[22] H. Triebel: The Structure of Functions.Birkhäuser, Basel, 2001. Zbl 0984.46021, MR 1851996; reference:[23] J. Vybíral: Characterisations of function spaces with dominating mixed smoothness properties.Jenaer Schriften zur Mathematik und Informatik, Math/Inf/15/03, 2003.; reference:[24] J. Vybíral: Function spaces with dominating mixed smoothness.Diss. Math. 436 (2006), 1–73. MR 2231066; reference:[25] J. Vybíral: A diagonal embedding theorem for function spaces with dominating mixed smoothness.Funct. et Approx. 33 (2005), 101–120. MR 2274153; reference:[27] H. Yserentant: On the regularity of the electronic Schrödinger equation in Hilbert spaces of mixed derivatives.Numer. Math. 98 (2004), 731–759. Zbl 1062.35100, MR 2099319, 10.1007/s00211-003-0498-1; reference:[28] H. Yserentant: Sparse grid spaces for the numerical solution of the electronic Schrödinger equation.Numer. Math. 101 (2005), 381–389. Zbl 1084.65125, MR 2195349, 10.1007/s00211-005-0581-x

الاتاحة: http://hdl.handle.net/10338.dmlcz/128236

المؤلفون: Naumann, J., Simader, C. G.

مصطلحات موضوعية: keyword:Sobolev spaces, keyword:Poincaré’s inequality, keyword:existence of intermediate derivates, msc:46E35

وصف الملف: application/pdf

Relation: mr:MR1780700; zbl:Zbl 0941.46019; reference:[1] Adams R. A.: Sobolev Spaces.Academic Press, Inc, Boston, 1978, Zbl 0347.46040; reference:[2] Besov O. V., Il'in V. P., Nikol'skij S. M.: Integral Representations of Functions and Imbedding Theorems.Engl. Transl: V.H. Winston & Sons, Washington; J. Wiley & Sons, New York, vol. I: 1978, vol. II: 1979, Izd. Nauka, Moskva, 1975. (In Russian.) MR 0430771; reference:[3] Burenkov V. I.: Sobolev Spaces on Domains.B. G. Teubner, Stuttgart, 1998. Zbl 0893.46024, MR 1622690; reference:[4] Gilbarg D., Trudinger N. S.: Elliptic Partial Differential Equations of Second Order.(2nd ed.), Springer-Verlag, Berlin, 1983. Zbl 0562.35001, MR 0737190; reference:[5] Kufner A., John O., Fučík S.: Function Spaces.Academia, Prague, 1977. MR 0482102; reference:[б] Maz'ja V. G.: Sobolev Spaces.Springer-Verlag, Berlin, 1985. Zbl 0692.46023, MR 0817985; reference:[7] Maz'ja V. G., Poborchij S. V.: Differentiable Functions on Bad Domains.World Scientific, Singapore, 1997. MR 1643072; reference:[8] Nečas J.: Les méthodes directes en théorie des équations elliptiques.Academia, Praha, 1967. MR 0227584; reference:[9] Nikoľskij S. M.: Approximation of Functions of Several Variables and Imbedding Theorems.Engl. transl: Springer-Verlag, Berlin 1975, Izd. Nauka, Moskva, 1969 (In Russian.). MR 0374877; reference:[10] Sobolev S. L.: On some estimates related to families of functions having derivatives which are square integrable.Dokl. Akad. Nauk 1 (1936), 267-270. (In Russian.); reference:[11] Sobolev S. L.: On a theorem in functional analysis.Mat. Sborn. 4 (1938), 471-497 (In Russian.); Engl. transl. Amer. Math. Soc. Transl. II Ser. 34 (1963), 39-68.; reference:[12] Sobolev S. L.: Some Applications of Functional Analysis in Mathematical Physics.1st ed.: LGU Leningrad, 1950; 2nd ed.: NGU Novosibirsk, 1962; Зrd ed.; Izd. Nauka, Moskva 1988. (In Russian.) Engl. transl.: Amer. Math. Soc. Providence R.I, 1963; German transl: Akademie-Verlag Berlin 1964. MR 0986735; reference:[13] Triebel H.: Interpolation Theory, Function Spaces, Differential Operators.(2nd ed.), J. A.Barth Verlag, Beidelberg, 1995. Zbl 0830.46028, MR 1328645; reference:[14] Ziemer W. P.: Weakly Differentiable Functions.Springer-Verlag, New York, 1989. Zbl 0692.46022, MR 1014685

الاتاحة: http://hdl.handle.net/10338.dmlcz/126243

المؤلفون: Malý, Jan

مصطلحات موضوعية: keyword:Sobolev spaces, keyword:change of variables, keyword:area formula, keyword:Hölder continuity, msc:26B15, msc:26B20, msc:28A75, msc:30C65, msc:46E35

وصف الملف: application/pdf

Relation: mr:MR1286576; zbl:Zbl 0812.30006; reference:[{1}] Bojarski B., Iwaniec T.: Analytical foundations of the theory of quasiconformal mapping in $\bold R^n$.Ann. Acad. Sci. Fenn. Ser. A I. Math. 8 (1983), 257-324. MR 0731786; reference:[{2}] Federer H.: Geometric Measure Theory.Springer-Verlag, Grundlehren, 1969. Zbl 0874.49001, MR 0257325; reference:[{3}] Federer H.: Surface area II.Trans. Amer. Math. Soc. 55 (1944), 438-456. MR 0010611; reference:[{4}] Feyel D., de la Pradelle A.: Hausdorff measures on the Wiener space.Potential Analysis 1,2 (1992), 177-189. Zbl 1081.28500, MR 1245885; reference:[{5}] Giaquinta M., Modica G., Souček J.: Area and the area formula.preprint, 1993. MR 1293774; reference:[{6}] Hedberg L.I., Wolff Th.H.: Thin sets in nonlinear potential theory.Ann. Inst. Fourier, Grenoble 33,4 (1983), 161-187. Zbl 0508.31008, MR 0727526; reference:[{7}] Heinonen J., Kilpeläinen T., Martio O.: Nonlinear Potential Theory of Degenerate Elliptic Equations.Oxford Mathematical Monographs, Clarendon Press, 1993. MR 1207810; reference:[{8}] Malý J.: Hölder type quasicontinuity.Potential Analysis 2 (1993), 249-254. MR 1245242; reference:[{9}] Malý J., Martio O.: Lusin's condition (N) and mappings of the class $W^{1,n}$.Preprint 153, University of Jyväskylä, 1992.; reference:[{10}] Martio O., Ziemer W.P.: Lusin's condition (N) and mappings with non-negative Jacobians.Michigan Math. J., to appear. MR 1182504; reference:[{11}] Meyers N.G.: Continuity properties of potentials.Duke Math. J. 42 (1975), 157-166. Zbl 0334.31004, MR 0367235; reference:[{12}] Reshetnyak Yu.G.: On the concept of capacity in the theory of functions with generalized derivatives.Sibirsk. Mat. Zh. 10 (1969), 1109-1138. MR 0276487; reference:[{13}] Reshetnyak Yu.G.: Space Mappings with Bounded Distortion.Transl. Math. Monographs, Amer. Math. Soc., Providence, 1989. Zbl 0667.30018, MR 0994644; reference:[{14}] Ziemer W.P.: Weakly Differentiable Functions.Graduate Texts in Mathematics 120, Springer-Verlag, 1989. Zbl 0692.46022, MR 1014685

الاتاحة: http://hdl.handle.net/10338.dmlcz/118668

المؤلفون: Práger, Milan

مصطلحات موضوعية: keyword:bilinear functional, keyword:bilinear form, keyword:Sobolev spaces, keyword:local bilinear functional, keyword:boundary-value problems for elliptic differential operators, msc:35A15, msc:35J40, msc:46C99, msc:46E30, msc:46E35, msc:65N30

وصف الملف: application/pdf

Relation: mr:MR1202750; zbl:Zbl 0785.46034; reference:[1] V. Jarník: Differential Calculus.Publishing House of the Czech. Acad. Sci., Prague, 1953. (In Czech.)

الاتاحة: http://hdl.handle.net/10338.dmlcz/104541

المؤلفون: Edmunds, D. E., Sun, Jiong

مصطلحات موضوعية: keyword:entropy numbers, keyword:weighted Sobolev spaces, keyword:Orlicz spaces, keyword:Sobolev spaces, keyword:weights, keyword:approximation and entropy numbers, msc:41A46, msc:46E35

وصف الملف: application/pdf

Relation: mr:MR1126450; zbl:Zbl 0751.41019; reference:[1] M. S. Birman M. S. Solomjak: Quantitative analysis in Sobolev imbedding theorems and applications to spectral theory.Amer. Math. Soc. Transl. (2) 114 (1980), 1 - 132. MR 0562305; reference:[2] D. E. Edmunds R. M. Edmunds: Entropy and approximation numbers of embeddings in Orlicz spaces.J. Lond. Math. Soc. (2) 32 (1985), 528-538. MR 0825929, 10.1112/jlms/s2-32.3.528; reference:[3] D. E. Edmunds W. D. Evans: Orlicz and Sobolev spaces on unbounded domains.Proc. Roy. Soc. A342 (1975), 373-400. MR 0394170; reference:[4] D. E. Edmunds W. D. Evans: Spectral theory and differential operators.Oxford University Press, Oxford, 1987. MR 0929030; reference:[5] D. E. Edmunds A. Kufner, Jiong Sun: Extensions of functions in weighted Sobolev spaces.Rend. Accad. Nat. Sci. XL Mem. Mat. (5) 14, 17 (1990), 327-339. MR 1106583; reference:[6] M. Krbec L. Pick: On imbeddings between weighted Orlicz spaces.Zeitschrift Anal. Anwend. (1) 10 (1991), 105-116. MR 1155360; reference:[7] A. Kufner: Weighted Sobolev spaces.John Wiley and Sons Ltd., 1985. Zbl 0579.35021, MR 0802206; reference:[8] A. Kufner: Boundary value problems in weighted spaces.Equadiff 6, Lecture Notes in Mathematics 1192, Springer-Verlag, Berlin-Heidelberg-New York, 1986, pp. 35-48. Zbl 0627.46032, MR 0877105; reference:[9] M. Namasivayam: Estimates of entropy numbers of embeddings of Sobolev spaces on unbounded domains.Quart. J. Math., Oxford (2) 36 (1985), 231-242. MR 0790483, 10.1093/qmath/36.2.231; reference:[10] E. W. Stredulinsky: Weighted inequalities and degenerate elliptic partial differential equations.Lecture Notes in Mathematics 1074, Springer-Verlag, Berlin-Heidelberg-New York, 1984. Zbl 0541.35001, MR 0757718; reference:[11] J.-O. Strömberg R. L. Wheeden: Fractional integrals on weighted $H^p$ and $L^p$ spaces.Trans. Amer. Math. Soc. 287 (1985), 293-321. MR 0766221; reference:[12] H. Triebel: Interpolation theory, function spaces, differential operators.North-Holland, Amsterdam, 1978. Zbl 0387.46033, MR 0503903; reference:[13] N. S. Trudinger: On imbeddings into Orlicz spaces and some applications.J. Math. Mech., 17 (1967), 473-484. Zbl 0163.36402, MR 0216286

الاتاحة: http://hdl.handle.net/10338.dmlcz/126169

المؤلفون: Malý, Jan

مصطلحات موضوعية: keyword:Sobolev spaces, keyword:minors of the Jacobi matrix, keyword:weak and strong convergence, keyword:cartesian currents, msc:28A75, msc:46E40, msc:49J45, msc:73C50, msc:74B20

وصف الملف: application/pdf

Relation: mr:MR1159812; zbl:Zbl 0753.46024; reference:[1] Giaquinta M., Modica G., Souček J.: Cartesian currents, weak dipheomorphisms and existence theorems in nonlinear elasticity.Arch. Rat. Mech. Anal. 106 (1989), 97-159. {Erratum and addendum}. Arch. Rat. Mech. Anal. 109 (1990), 385-592. MR 0980756; reference:[2] Giaquinta M., Modica G., Souček J.: Cartesian currents and variational problems for mappings into spheres.Annali S.N.S. Pisa 16 (1989), 393-485. MR 1050333; reference:[3] Giaquinta M., Modica G., Souček J.: The Dirichlet energy of mappings with values into the sphere.Manuscripta Math. 65 (1989), 489-507. MR 1019705; reference:[4] Giaquinta M., Modica G., Souček J.: The Dirichlet integral for mappings between manifolds: Cartesian currents and homology.Università di Firenze, preprint, 1991. MR 1183409; reference:[5] V. Šverák: Regularity properties of deformations with finite energy.Arch. Rat. Mech. Anal. 100 (1988), 105-127. MR 0913960; reference:[6] W.P. Ziemer: Weakly Differentiable Functions. Sobolev Spaces and Function of Bounded Variation.Graduate Text in Mathematics 120, Springer-Verlag, 1989. MR 1014685

الاتاحة: http://hdl.handle.net/10338.dmlcz/118445

المؤلفون: Jarušek, Jiří

مصطلحات موضوعية: keyword:quasilinear heat equation, keyword:Lamé system, keyword:noncontinuous heating regimes, keyword:Sobolev spaces, keyword:Fourier transformation, keyword:supports, keyword:boundedness and continuity of the stresses with respect to space variables and in time, msc:35B60, msc:35B65, msc:35K60, msc:35M05, msc:35R05, msc:73B30, msc:73U05, msc:74A15, msc:74B99, msc:80A20

وصف الملف: application/pdf

Relation: mr:MR1109122; zbl:Zbl 0771.73008; reference:[1] O. V. Běsov V. P. Iljin S. M. Nikoľskij: Integral Transformations of Functions and Imbedding Theorems.(in Russian). Nauka, Moskva 1975.; reference:[2] P. Grisvard: Elliptic Problems in Nonsmooth Domains.Monographs and Studies in Math. 24, Pitman, Ibston - London - Melbourne 1985. Zbl 0695.35060, MR 0775683; reference:[3] P. Grisvard: Problèmes aux limites dans les polygones. Mode d'emploi.EDF Bull. Direct. Etud. Rech. Ser. C - Math. Inform. (1986), 21-59. Zbl 0623.35031, MR 0840970; reference:[4] J. Jarušek: Contact problems with bounded friction. Coercive case.Czech. Math. J. 33 (108) (1983), 237-261. MR 0699024; reference:[5] J. Jarušek: On the regularity of solutions of a thermoelastic system under noncontinuous heating regime.Apl. Mat. 35 (1990) 6, 426-450. MR 1089924; reference:[6] V. A. Kondratěv: Elliptic boundary value problems with conical or angular points.(in Russian). Trudy Mosk. Mat. Obšč., Vol. 16 (1967), 209-292. MR 0226187; reference:[7] A. Kufner A. M. Sändig: Some Applications of Weighted Sobolev Spaces.Teubner-Texte Math. Vol. 100, Teubner V., Leipzig 1987. MR 0926688; reference:[8] O. A. Ladyženskaya V. A. Solonnikov N. N. Uraltseva: Linear and Quasilinear Equations of Parabolic Type.(in Russian), Nauka, Moskva 1967.; reference:[9] J. L. Lions E. Magenes: Problèrnes aux limites non-homogènes et applications.Dunod, Paris 1968.; reference:[10] V. G. Maz'ja B. A. Plameněvskij: On the coefficients in asymptotics of solutions of elliptic boundary value problems in domains having conical points.(in Russian), Math. Nachr.76 (1977), 29-60. MR 0601608; reference:[11] A. M. Sänding U. Richter R. Sänding: The regularity of boundary value problems for the Lamé equation in polygonal domain.Rostock Math. Kolloq. 36 (1989), 21 - 50.; reference:[12] A. Visintin: Sur le problème de Stefan avec flux non-linéaire.Preprint No 230, Ist. Anal. Numer, C. N. R. Pavia, Pavia 1981. Zbl 0478.35084, MR 0631569

الاتاحة: http://hdl.handle.net/10338.dmlcz/104457

المؤلفون: Jarušek, Jiří

مصطلحات موضوعية: keyword:nonlinear heat equation, keyword:Lamé system, keyword:noncontinuous heating regime, keyword:isolated boundary nonsmoothness, keyword:boundedness and continuity of the stresses, keyword:Sobolev spaces, keyword:Fourier transformation, keyword:temperature shock, keyword:quasi-linear thermoelasticity, keyword:homogeneous isotropic body, keyword:radiation term, keyword:stress field, msc:35K55, msc:35M05, msc:35R05, msc:73B30, msc:73U05, msc:74A15, msc:74B99, msc:80A20

وصف الملف: application/pdf

Relation: mr:MR1089924; zbl:Zbl 0754.73021; reference:[1] S. Agmon A. Douglis L. Nirenberg: Estimates near boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. Part II.Comm. Pure Appl. Math. 17 (1964) 35-92. MR 0162050, 10.1002/cpa.3160170104; reference:[2] O. V. Běsov V. P. lljin S. M. Nikolskij: Integral Transformations of Functions and Imbedding Theorems.(in Russian). Nauka, Moskva 1975.; reference:[3] P. Grisvard: Elliptic Problems in Nonsmooth Domains.Monographs and Studies in Math. 24, Pitman, Boston-London-Melbourne 1985. Zbl 0695.35060, MR 0775683; reference:[4] P. Grisvard: Problemes aux limites dans les polygones, Mode d'emploi.EDF Bull. Direct. Etud. Rech. Ser. C. Math. Inform. (1986) 1, 21 - 59. Zbl 0623.35031, MR 0840970; reference:[5] J. Jarušek: Contact problems with bounded friction. Coercive case.Czech. Math. J. 33 (108) (1983), 237-261. MR 0699024; reference:[6] J. Jarušek: Remark to the generalized gradient method for the optimal large-scale heating problem.Probl. Control Inform. Theory 16 (1987) 2, 89-99. MR 0907452; reference:[7] J. Jarušek: Optimal control of thermoelastic processes III.(in Czech). Techn. rep. Inst. Inform. Th. Autom. No. 1561, Praha 1988.; reference:[8] V. A. Kondratěv: Elliptic boundary value problems with conical or angular points.(in Russian). Trudy Mosk. Mat. Obšč., Vol. 16 (1967), 209-292. MR 0226187; reference:[9] A. Kufner O. John S. Fučík: Function Spaces.Academia, Praha 1977. MR 0482102; reference:[10] A. Kufner A. M. Sändig: Some Applications of Weighted Sobolev Spaces.Teubner-Texte Math., Band 100, Teubner V., Leipzig 1987. MR 0926688; reference:[11] O. A. Ladyženskaja V. A. Solonnikov N. N. Uralceva: Linear and Quasilinear Equations of Parabolic Type.(in Russian). Nauka, Moskva 1967. MR 0241822; reference:[12] J. L. Lions E. Magenes: Problèmes aux limites non-homogènes et applications.Dunod, Paris 1968.; reference:[13] J. Nečas: Solution of the biharmonic problem for an infinite angle.(in Czech). Časopis pěst. mat. 83 (1958), Part I, 257-286, Part. II, 399-424.; reference:[14] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia, Praha 1967. MR 0227584; reference:[15] J. Nečas: Introduction to the Theory of Nonlinear Elliptic Equations.Teubner-Texte Math., Band 52, Teubner V., Leipzig 1983. MR 0731261; reference:[16] R. H. Nochetto: Error estimates for two-phases Stefan problem in several space variables. Part II: Nonlinear flux conditions.Preprint No. 416, 1st. Anal. Numer, CNR. Pavia, Pavia 1984. MR 0775859; reference:[17] A. M. Sändig U. Richter R. Sändig: The regularity of boundary value problems for the Lame equations in polygonal domain.Rostock. Math. Kolloq. 36 (1989), 21-50. MR 1006837; reference:[18] A. Visintin: Sur le problème de Stefan avec flux non-lineaire.Preprint No. 230, Ist. Anal. Numer. C. N. R. Pavia, Pavia 1981. Zbl 0478.35084, MR 0631569

الاتاحة: http://hdl.handle.net/10338.dmlcz/104426