GLOBAL SOLVABILITY OF NONLINEAR-WAVE EQUATION WITH A VISCOELASTIC BOUNDARY-CONDITION

被引：0
|
作者：
QIN, TH
机构：
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 1993年 / 14卷 / 03期
关键词：
NONLINEAR WAVE EQUATION; VISCOELASTIC BOUNDARY CONDITION; GLOBAL SOLVABILITY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper deals with the global solvability of nonlinear wave equation with a viscoelastic boundary condition. The problem is a mathematical mode for nonlinare one-dimensional motion of an elastic bar connected with a viscoelastic element at one end of the bar. Under some physically reasonable assumptions, the boundary condition is dissipative and the existence of global smooth solution of the problem is proved for small data.
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页码：335 / 346
页数：12
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