A nonlinear Klein-Gordon equation on a star graph

被引：0
|
作者：
Goloshchapova, Nataliia [1 ,2 ]
机构：
[1] Univ Sao Paulo, Inst Math, Sao Paulo, Brazil
[2] R Matao 1010, BR-05508090 Sao Paulo, SP, Brazil
来源：
MATHEMATISCHE NACHRICHTEN | 2021年 / 294卷 / 09期
关键词：
delta-interaction; nonlinear Klein-Gordon equation; orbital stability; standing wave; star graph; STANDING WAVES; NLS EQUATION; ORBITAL STABILITY; SOLITARY WAVES; GROUND-STATE; INSTABILITY;
D O I：
10.1002/mana.201900526
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study local well-posedness and orbital stability/instability of standing waves for a first order system associated with a nonlinear Klein-Gordon equation on a star graph. The proof of the well-posedness uses a classical fixed point argument and the Hille-Yosida theorem. Stability study relies on the linearization approach and recent results for the NLS equation with the delta-interaction on a star graph.
引用
收藏
页码：1742 / 1764
页数：23
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