Existence, blow-up and exponential decay estimates for a nonlinear wave equation with boundary conditions of two-point type

被引：12

作者：

Le Xuan Truong ^{[2
]}

Le Thi Phuong Ngoc ^{[3
]}

Alain Pham Ngoc Dinh ^{[4
]}

Nguyen Thanh Long ^{[1
]}

机构：

[1] Viet Nam Natl Univ Hochiminh City, Univ Nat Sci, Dept Math & Comp Sci, Ho Chi Minh City, Vietnam

[2] Univ Econ Hochiminh City, Ho Chi Minh City, Vietnam

[3] Nhatrang Educ Coll, Nhatrang City, Vietnam

[4] Univ Orleans, MAPMO, UMR 6628, F-45067 Orleans 02, France

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 18期

关键词：

Nonlinear wave equation; Local existence; Global existence; Blow up; Exponential decay; ASYMPTOTIC-EXPANSION; MATHEMATICAL ASPECTS; GLOBAL EXISTENCE; ELASTIC STRINGS; VIBRATIONS;

D O I：

10.1016/j.na.2011.07.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to studying a nonlinear wave equation with boundary conditions of two-point type. First, we state two local existence theorems and under the suitable conditions, we prove that any weak solutions with negative initial energy will blow up in finite time. Next, we give a sufficient condition to guarantee the global existence and exponential decay of weak solutions. Finally, we present numerical results. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：6933 / 6949

页数：17

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