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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:
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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