A blow-up result for a nonlinear damped wave equation in exterior domain: The critical case

被引：14

作者：

Fino, A. Z. ^{[2
]}

Ibrahim, H. ^{[1
]}

Wehbe, A. ^{[1
]}

机构：

[1] Lebanese Univ, Fac Sci 1, Math Dept, Hadath, Lebanon

[2] Lebanese Univ, Fac Sci 3, Math Dept, Tripoli, Libya

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 73卷 / 11期

关键词：

Nonlinear damped wave equation; Blow-up; Critical exponent; CAUCHY-PROBLEM;

D O I：

10.1016/j.camwa.2017.03.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the initial boundary value problem of the nonlinear damped wave equation in an exterior domain Q. We prove a blow-up result which generalizes the result of nonexistence of global solutions of Ogawa and Takeda (2009). We also show that the critical exponent belongs to the blow-up case. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：2415 / 2420

页数：6

共 16 条

[1]

CAZENAVE T, 1990, INTRO PROBLEMES EVOL

[2]

Dan W., 1995, Funkc. Ekvacioj, V38, P545

[3] Decay of mass for nonlinear equation with fractional Laplacian [J].