Existence and asymptotic behaviour of solutions of a nonlinear evolution problem

被引：5

作者：

Nelson Nery de Oliveira Castro

机构：

[1] UFPB – CCEN,Departamento de Matemática

[2] Cidade Universitária,undefined

来源：

Applications of Mathematics | 1997年 / 42卷 / 6期

关键词：

Nonlinear problem; existence of solutions; Galerkin method; compactness; pseudo-Laplacian; asymptotic behaviour;

D O I：

10.1023/A:1022251012703

中图分类号：

学科分类号：

摘要：

We prove existence and asymptotic behaviour of a weak solutions of a mixed problem for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\left\{ \begin{gathered} u\prime\prime + Au - \Delta u\prime + |v|^{\varrho + 2} |u|^\varrho u = f_1 \hfill \\ v\prime\prime + Au - \Delta u\prime + |u|^{\varrho + 2} |v|^\varrho v = f_2 \hfill \\ \end{gathered} \right.$$ \end{document} where A is the pseudo-Laplacian operator.

引用

页码：411 / 420

页数：9