Academic Journal
Maximal Regularity In Continuous Interpolation Spaces And Quasilinear Parabolic Equations
| العنوان: | Maximal Regularity In Continuous Interpolation Spaces And Quasilinear Parabolic Equations |
|---|---|
| المؤلفون: | Philippe Clement, Gieri Simonett |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://www.math.vanderbilt.edu/~simonett/preprints/CS1.pdf. |
| سنة النشر: | 2001 |
| المجموعة: | CiteSeerX |
| الوصف: | In this paper we establish a geometric theory for abstract quasilinear parabolic equations. In particular, we study existence, uniqueness, and continuous dependence of solutions. Moreover, we give conditions for global existence and establish smoothness properties of solutions. The results are based on maximal regularity estimates in continuous interpolation spaces. An important new ingredient is that we are able to show that quasilinear parabolic evolution equations generate a smooth semiflow on the trace spaces associated with maximal regularity, which are the natural phase spaces in this framework. 1. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.7.1027; http://www.math.vanderbilt.edu/~simonett/preprints/CS1.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.7.1027 http://www.math.vanderbilt.edu/~simonett/preprints/CS1.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.5249A8D8 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |