کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6420770 | 1631805 | 2014 | 12 صفحه PDF | دانلود رایگان |
- We prove the existence result in the setting of Orlicz-Sobolev Spaces.
- The N-function M does not satisfy the Î2-condition.
- Existence of a renormalized solution for a class of nonlinear parabolic equations.
- The data belongs to L1 and no continuous assumption is made on divergence form.
In this paper we prove the existence results for renormalized solution of the following nonlinear parabolic problems in Orlicz-Sobolev Spaces (1)(P)âb(x,u)ât-diva(x,t,u,âu)-div(Φ(x,t,u))=finQT=ΩÃ(0,T)b(u)(t=0)=b(u0)inΩu=0onâΩÃ(0,T),where b(x,u) is unbounded function of u, the term -diva(x,t,u,âu) is a Leray-Lions operator defined on a subset of W01,xLM(QT), where M is a N-function without assuming a Î2-condition, the second term fâL1(QT) and Φ is a noncoercive function which satisfies only the growth condition.
Journal: Applied Mathematics and Computation - Volume 249, 15 December 2014, Pages 253-264