On Parabolic Variational Inequalities with Multivalued Terms and Convex Functionals

Autor: Le Vy Khoi, Schmitt Klaus
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Advanced Nonlinear Studies, Vol 18, Iss 2, Pp 269-287 (2018)
Druh dokumentu: article
ISSN: 1536-1365
2169-0375
2018-0004
DOI: 10.1515/ans-2018-0004
Popis: In this paper, we consider the following parabolic variational inequality containing a multivalued term and a convex functional: Find u∈Lp⁢(0,T;W01,p⁢(Ω)){u\in L^{p}(0,T;W^{1,p}_{0}(\Omega))} and f∈F⁢(⋅,⋅,u){f\in F(\cdot,\cdot,u)} such that u⁢(⋅,0)=u0{u(\cdot,0)=u_{0}} and
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