The Cauchy-Goursat problem for wave equations with nonlinear dissipative term

被引：1

作者：

Kharibegashvili, S. S. ^{[1
]}

Jokhadze, O. M. ^{[1
]}

机构：

[1] Tbilisi State Univ, GE-380086 Tbilisi, Georgia

来源：

MATHEMATICAL NOTES | 2013年 / 94卷 / 5-6期

关键词：

wave equation; Cauchy-Goursat problem; Volterra-type integral equation; Green's formula; dissipative term; blow-up of a solution; 1ST DARBOUX PROBLEM; BLOW-UP; GLOBAL-SOLUTIONS; EXISTENCE; NONEXISTENCE; SOLVABILITY;

D O I：

10.1134/S000143461311028X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Cauchy-Goursat problem for wave equations with nonlinear dissipative term is studied. The existence, uniqueness, and blow-up of global solutions of this problem are considered. The local solvability of this problem is also discussed.

引用

页码：913 / 929

页数：17

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