On the solvability of one boundary value problem for some semilinear wave equations with source terms

被引：3

作者：

Kharibegashvili, Sergo ^{[1
,2
]}

Midodashvili, Bidzina ^{[3
]}

机构：

[1] A Razmadze Math Inst, GE-0193 Tbilisi, Georgia

[2] Georgian Tech Univ, Dept Math, GE-0175 Tbilisi, Georgia

[3] I Javakhishvili Tbilisi State Univ, GE-0143 Tbilisi, Georgia

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2011年 / 18卷 / 02期

关键词：

Sobolev problem; Semilinear wave equations; Source terms; Global and local solvability; Nonexistence; CAUCHY CHARACTERISTIC PROBLEM; GLOBAL-SOLUTIONS; BLOW-UP; MULTIDIMENSIONAL VERSION; DARBOUX PROBLEM; NONEXISTENCE; EXISTENCE; ABSENCE;

D O I：

10.1007/s00030-010-0087-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a conic domain of time type for one class of semilinear wave equations with source terms we consider a Sobolev problem representing a multidimensional version of the Darboux second problem. The questions on global and local solvability, uniqueness and absence of solutions of this problem are investigated.

引用

页码：117 / 138

页数：22

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