Remarks on some dissipative sine-Gordon equations

被引：7
|
作者：
Goubet, O. [1 ]
机构：
[1] Univ Picardie Jules Verne, CNRS, LAMFA, UMR 7352, Amiens, France
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2020年 / 65卷 / 08期
关键词：
Sine-Gordon equations; attractors; solutions of elliptic equations; CONVERGENCE; ATTRACTORS;
D O I：
10.1080/17476933.2019.1597069
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this short note, we discuss some results concerning the long-time behaviour of solutions to dissipative sine-Gordon equation in a bounded domain of . We first prove that without forcing term and under some assumptions on the domain then the global attractor reduces to . We then rewrite the sine-Gordon equation as a Schrodinger equation with smoothing; this allows us to provide another proof for the so-called asymptotical smoothing effect for this dissipative wave equation.
引用
收藏
页码：1336 / 1342
页数：7
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