دورية أكاديمية
Existence of Renormalized Solutions for p(x)-Parabolic Equation with three unbounded nonlinearities
| العنوان: | Existence of Renormalized Solutions for p(x)-Parabolic Equation with three unbounded nonlinearities |
|---|---|
| المؤلفون: | Youssef Akdim, Nezha El Gorch, Mounir Mekkour |
| المصدر: | Boletim da Sociedade Paranaense de Matemática, Vol 34, Iss 1, Pp 225-252 (2016) |
| بيانات النشر: | Sociedade Brasileira de Matemática, 2016. |
| سنة النشر: | 2016 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | Variable exponent Sobolev, Young’s Inequality, Renomalized Solution, Parabolic problems, Tree unbounded nonlinearities, Mathematics, QA1-939 |
| الوصف: | In this article, we study the existence of renormalized solution for the nonlinear $p(x)$-parabolic problem of the form:\\ $\begin{cases} \frac{\partial b(x,u)}{\partial t} - div (a(x,t,u,\nabla u)) + H(x,t,u,\nabla u) = f - divF $ \; in $Q= \Omega\times(0,T)\\$ $b(x,u)\mid_{t=0} = b(x,u_{0})$ \; in $\Omega\\$ $ u = 0 $ \quad on $\partial\Omega\times(0,T)\\$ $\end{cases}$ with $ f $ $ \in L^{1} (Q),$\; $b(x,u_{0}) \in L^{1} (\Omega)$ and $ F \in (L^{P'(.)}(Q))^{N}. $\\ The main contribution of our work is to prove the existence of renormalized solution of the variable exponent Soblev spaces, and we suppose that\;$ H(x,t,u,\nabla u)$\; is the non linear term satisfying some growth condition but no sig |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English Portuguese |
| تدمد: | 0037-8712 2175-1188 |
| Relation: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/23667; https://doaj.org/toc/0037-8712; https://doaj.org/toc/2175-1188 |
| DOI: | 10.5269/bspm.v34i1.23667 |
| URL الوصول: | https://doaj.org/article/079747d60a684a8e848a7071660c56c0 |
| رقم الأكسشن: | edsdoj.079747d60a684a8e848a7071660c56c0 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 00378712 21751188 |
|---|---|
| DOI: | 10.5269/bspm.v34i1.23667 |