具有变指数和测量数据的拟线性抛物型问题重归一化解的存在性

IF 0.4 Q4 MATHEMATICS
Fairouz Souileh, M. Maouni, K. Slimani
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引用次数: 0

摘要

本文研究了具有变指数和测度数据的拟线性抛物问题的重整化解的存在性。模型为:u_{t}-\text{div}{0.5cm}Q=\Omega\times]0,T[,\\u=0&&\text{on}\hspace{0.5cm}\Sigma=\partial\Omega\times]0{M}_{0}(Q)$是在$Q=\Omega\times]0,T$$上具有有界变化的任何测度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The existence of renormalized solution for quasilinear parabolic problem with variable exponents and measure data
In this paper, the study of the existence of a renormalized solution for quasilinear parabolicproblem with variable exponents and measure data. The model is: u_{t}-\text{div}(\left\vert \nabla u\right\vert ^{p(x)-2}\nabla u)+\lambda\left\vert u\right\vert ^{p(x)-2}u=\mu\text{ } &\text{in}\hspace{0.5cm}Q=\Omega \times ]0,T[,\\u=0 & \text{on}\hspace{0.5cm}\Sigma =\partial \Omega \times ]0,T[, \\u(.,0)=u_{0}(.) & \text{in}\hspace{0.5cm}\Omega, where $ \lambda>0$ and $ T $ is any positive constant, $ \mu\in\mathcal{M}_{0}(Q) $ is any measure with bounded variation over $ Q=\Omega \times ]0,T[ $.
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来源期刊
CiteScore
1.40
自引率
0.00%
发文量
140
审稿时长
25 weeks
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