Orbital stability of periodic standing waves for the logarithmic Klein-Gordon equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:484

Article

Natali, Fabio¹  Cardoso, Eleomar, Jr.² 

[1] Univ Estadual Maringa, Dept Matemat, Ave Colombo 5790, BR-87020900 Maringa, PR, Brazil

[2] Univ Fed Santa Catarina, Dept Matemat, Rua Joao Pessoa 2750, BR-89036002 Blumenau, SC, Brazil

关键词: Logarithmic Klein-Gordon;    Compactness method;    Periodic waves;    Orbital stability;   

DOI  :  10.1016/j.jmaa.2019.123723

来源: Elsevier

【 摘 要 】

The main goal of this paper is to present orbital stability results of periodic standing waves for the one-dimensional logarithmic Klein-Gordon equation. To do so, we first use compactness arguments and a non-standard analysis to obtain the existence and uniqueness of weak solutions for the associated Cauchy problem in the energy space. Second, we prove the orbital stability of standing waves using a stablity analysis of conservative systems. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free