具有变指数和正则数据的各向异性抛物问题

Rabah Mecheter
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引用次数: 0

摘要

本文研究了一类具有正则数据的非线性抛物型方程在变指数Sobolev空间中弱解的存在性。我们证明了一个弱Lebesgue空间估计的“版本”,它可以追溯到“Lions J. L. Quelques msamothodes de racimetmes aux limits”。Dunod, Paris(1969)“具有各向异性常数指数(pi(⋅)=pi)的抛物方程”。
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Anisotropic parabolic problem with variable exponent and regular data
In this paper, we study the existence of weak solutions for a class of nonlinear parabolic equations with regular data in the setting of variable exponent Sobolev spaces. We prove a "version" of a weak Lebesgue space estimate that goes back to "Lions J. L. Quelques méthodes de résolution des problèmes aux limites. Dunod, Paris (1969)" for parabolic equations with anisotropic constant exponents (pi(⋅)=pi).
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来源期刊
Mathematical Modeling and Computing
Mathematical Modeling and Computing Computer Science-Computational Theory and Mathematics
CiteScore
1.60
自引率
0.00%
发文量
54
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