Global weak solutions of the Cauchy problem for semilinear pseudo-hyperbolic equations

被引：0
作者：
A. B. Aliev
A. A. Kazymov
机构：
[1] Azerbaijan Technical University,Institute for Mathematics and Mechanics
[2] National Academy of Sciences,undefined
来源：
Differential Equations | 2009年 / 45卷
关键词：
Cauchy Problem; Global Solution; Nonlinear Wave Equation; Global Weak Solution; Local Solvability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The Cauchy problem for a class of semilinear pseudo-hyperbolic equations is considered. For the corresponding linear problems, we obtain Lp → Lq estimates. By using these estimates, we prove global solvability theorems. We also establish the behavior of solutions as t → + ∞.
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页码：175 / 185
页数：10
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