Existence of Renormalized Solutions for p(x)-Parabolic Equation with three unbounded nonlinearities
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 $Q= \Omega\times(0,T)\\$ $b(x,u)\mid_{t=0} = b(x,u_{0})$ ...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2016-04-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/23667 |