拟线性maxwell方程外域的可解性

IF 1 4区数学 Q3 MATHEMATICS, APPLIED Journal of Applied Analysis and Computation Pub Date : 2023-01-01 DOI:10.11948/20230121

Zifei Shen, Shuijin Zhang

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引用次数: 0

摘要

本文考虑了一些缺乏紧性的q-旋-旋方程。我们的分析是在外部域的抽象设置中进行的。我们首先回顾了基于外域$ L^{r} $-Helmholtz-Weyl分解的$ {\rm curl} $自由空间的分解。然后通过将原系统简化为一个div-旋度系统和一个具有Neumann边界条件的$ p $- laplace方程，得到了q-旋度方程解的可解性。

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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SOLVABILITY OF QUASILINEAR MAXWELL EQUATIONS IN EXTERIOR DOMAINS

In this paper we consider some q-curl-curl equations with lack of compactness. Our analysis is developed in the abstract setting of exterior domains. We first recall a decomposition of $ {\rm curl} $-free space based on $ L^{r} $-Helmholtz-Weyl decomposition in exterior domains. Then by reducing the original system into a div-curl system and a $ p $-Laplacian equation with Neumann boundary condition, we obtain the solvability of solutions for the q-curl-curl equation.

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来源期刊

Journal of Applied Analysis and Computation MATHEMATICS, APPLIED-

CiteScore

2.30

自引率

9.10%

发文量

期刊介绍： The Journal of Applied Analysis and Computation (JAAC) is aimed to publish original research papers and survey articles on the theory, scientific computation and application of nonlinear analysis, differential equations and dynamical systems including interdisciplinary research topics on dynamics of mathematical models arising from major areas of science and engineering. The journal is published quarterly in February, April, June, August, October and December by Shanghai Normal University and Wilmington Scientific Publisher, and issued by Shanghai Normal University.