Report
Mixed semi-continuous perturbation of time -dependent maximal monotone operators and subdifferentials
| العنوان: | Mixed semi-continuous perturbation of time -dependent maximal monotone operators and subdifferentials |
|---|---|
| المؤلفون: | Castaing, Charles, Godet-Thobie, Christiane, Saïdi, Soumia, Monteiro Marques, Manuel |
| المساهمون: | Université de Montpellier (UM), Laboratoire de Mathématiques de Bretagne Atlantique (LMBA), Université de Bretagne Sud (UBS)-Université de Brest (UBO)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de mathématiques de Brest (LM), Université de Brest (UBO)-Institut Brestois du Numérique et des Mathématiques (IBNM), Université de Brest (UBO)-Centre National de la Recherche Scientifique (CNRS), Université Mohammed Seddik Benyahia Jijel, Universidade de Lisboa = University of Lisbon = Université de Lisbonne (ULISBOA) |
| المصدر: | https://hal.science/hal-03171265 ; 2021. |
| بيانات النشر: | HAL CCSD |
| سنة النشر: | 2021 |
| المجموعة: | Université de Montpellier: HAL |
| مصطلحات موضوعية: | Mathematics Subject Classification (2010). 34A60, 34B15, 47H10, 49J52, 49J53, 35B10 maximal monotone operator, pseudo-distance, perturbation, subdifferential operator, evolution inclusion, mixed semi-continuity, [MATH]Mathematics [math] |
| الوصف: | We are concerned in the present work with the existence of absolutely continuous solutions to a class of evolution problems governed by time-dependent maximal monotone operators A(t) of the form − du dt (t) ∈ A(t)u(t) + f (t, u(t)) + F (t, u(t)), where the perturbation is a sum of a mixed semi-continuous compact set-valued map F and a singlevalued map f. New variants dealing with a class of time-dependant subdifferential operators of the form − du dt (t) ∈ ∂ϕ(t, u(t)) + f (t, u(t)) + F (t, u(t)) are also investigated. Some applications are given. |
| نوع الوثيقة: | report |
| اللغة: | English |
| Relation: | hal-03171265; https://hal.science/hal-03171265; https://hal.science/hal-03171265/document; https://hal.science/hal-03171265/file/CGSMMIXED20210112.pdf |
| الاتاحة: | https://hal.science/hal-03171265 https://hal.science/hal-03171265/document https://hal.science/hal-03171265/file/CGSMMIXED20210112.pdf |
| Rights: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.47964390 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |