Finite Time Blow-Up for Wave Equations with Strong Damping in an Exterior Domain

被引：9

作者：

Fino, Ahmad Z. ^{[1
]}

机构：

[1] Lebanese Univ, Fac Sci, Dept Math, POB 1352, Tripoli, Lebanon

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2020年 / 17卷 / 06期

关键词：

Semilinear wave equation; blow-up; exterior domain; strong damping; CRITICAL EXPONENT; WEAK SOLUTIONS; EXISTENCE;

D O I：

10.1007/s00009-020-01607-2

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 in exterior domain for strongly damped wave equations with power-type nonlinearity vertical bar u vertical bar(p). We will establish blow-up results under some conditions on the initial data and the exponentp, using the method of test function with an appropriate harmonic functions. We also study the existence of mild solution and its relation with the weak formulation.

引用

页数：21

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