一类非线性四阶波动方程整体解的存在性

数学季刊 ›› 2008, Vol. 23 ›› Issue (1): 109-114.

一类非线性四阶波动方程整体解的存在性

1. Department of Computation Science,Chengdu University of Information Technology 2. Department of Mathematics,Southwest Jiaoton9 University

收稿日期:2005-05-09 出版日期:2008-03-30 发布日期:2023-10-16
作者简介:CHEN Yong-ming(1972-), male, native of Tongnan, Chongqing, an associate professor of Chengdu University of Information Technology, Ph.D., engages in PDE applied statistics and grey system theory.
基金资助:
Supported by the National Natural Science Foundation of China(10301026); Supported by the Research Foundation of Chengdu University of Information Technology(CRF200702)

A Characterization of Existence of Global Solutions for Some Fourth-order Wave Equations

1. Department of Computation Science,Chengdu University of Information Technology 2. Department of Mathematics,Southwest Jiaoton9 University

Received:2005-05-09 Online:2008-03-30 Published:2023-10-16
About author:CHEN Yong-ming(1972-), male, native of Tongnan, Chongqing, an associate professor of Chengdu University of Information Technology, Ph.D., engages in PDE applied statistics and grey system theory.
Supported by:
Supported by the National Natural Science Foundation of China(10301026); Supported by the Research Foundation of Chengdu University of Information Technology(CRF200702)

摘要/Abstract

摘要： The initial boundary value problem for the fourth-order wave equation u_tt+△²u+u=|u|^p-1u is considered. The existence and uniqueness of global weak solutions is obtained by using the Galerkin method and the concept of stable set due to Sattinger.

关键词: wave equation, global solutions, Galerkin method, potential well

Abstract: The initial boundary value problem for the fourth-order wave equation u_tt+△²u+u=|u|^p-1u is considered. The existence and uniqueness of global weak solutions is obtained by using the Galerkin method and the concept of stable set due to Sattinger.

Key words: wave equation, global solutions, Galerkin method, potential well

中图分类号:

O175.2

陈勇明, 杨晗. 一类非线性四阶波动方程整体解的存在性[J]. 数学季刊, 2008, 23(1): 109-114.

CHEN Yong-ming, YANG Han. A Characterization of Existence of Global Solutions for Some Fourth-order Wave Equations [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(1): 109-114.

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