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 |
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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 |
تدمد: | 00378712 21751188 |
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DOI: | 10.5269/bspm.v34i1.23667 |