Approximation of elliptic and parabolic equations with Dirichlet boundary conditions

被引：0

作者：

Kim, Youchan ^{[1
]}

Ryu, Seungjin ^{[1
]}

Shin, Pilsoo ^{[2
]}

机构：

[1] Univ Seoul, Dept Math, 163 Seoulsiripdaero, Seoul 02504, South Korea

[2] Kyonggi Univ, Dept Math, 154-42 Gwanggyosan Ro, Suwon 16227, South Korea

来源：

MATHEMATICS IN ENGINEERING | 2023年 / 5卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

nonlinear elliptic equations; nonlinear parabolic equations; approximations; ZYGMUND THEORY; REGULARITY; MINIMIZERS; GRADIENT; FUNCTIONALS; EXISTENCE; POTENTIALS; INTEGRALS; GROWTH;

D O I：

10.3934/mine.2023079

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain an approximation result of the weak solutions to elliptic and parabolic equations with Dirichlet boundary conditions. We show that the weak solution can be obtained with a limit of approximations by regularizing the nonlinearities and approximating the domains.

引用

页码：1 / 43

页数：43

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