具有低阶项的拟线性抛物型系统的一个存在性结果

IF 1.6 3区数学 Q1 MATHEMATICS

Mathematical Modelling and Analysis Pub Date : 2021-11-26 DOI:10.3846/mma.2021.13553

Farah Balaadich, E. Azroul

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引用次数: 0

摘要

本文证明了一类与扩散问题相对应的拟线性抛物系统弱解的存在性，其形式为Ω是给定的有界开域，函数v属于运动和溶解的物质，溶解用f描述，运动用g描述。我们利用伽辽金近似和杨测度理论证明了弱解的存在性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An existence Result for quasilinear parabolic Systems with Lower order Terms

In this paper we prove the existence of weak solutions for a class of quasilinear parabolic systems, which correspond to diffusion problems, in the form where Ω is a bounded open domain of be given and The function v belongs to is in a moving and dissolving substance, the dissolution is described by f and the motion by g. We prove the existence result by using Galerkin’s approximation and the theory of Young measures.

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