ASYMPTOTIC-BEHAVIOR FOR THE TELEGRAPHIC EQUATION WITH NONLINEAR BOUNDARY-CONDITIONS

被引：0
|
作者：
GHIDAGLIA, JM
QUIVY, L
机构：
[1] CNRS,F-94235 CACHAN,FRANCE
[2] UNIV PARIS 13,F-93430 VILLETANEUSE,FRANCE
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1992年 / 315卷 / 08期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a second order in time hyperbolic equation in one space dimension. This wave equation type problem is assorted with non linear boundary conditions which are due to a nonlinear Power transformer. We show that the problem is well posed in the energy space and that the solutions are captured (as time goes to infinity) by a finite dimensional attractor.
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页码：931 / 936
页数：6
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