Continuous dependence of solutions to the strongly damped nonlinear Klein-Gordon equation

被引：8

作者：

Gur, Sevket ^{[1
]}

Uysal, Mesude Elif ^{[1
]}

机构：

[1] Sakarya Univ, Fac Arts & Sci, Dept Math, Sakarya, Turkey

来源：

TURKISH JOURNAL OF MATHEMATICS | 2018年 / 42卷 / 03期

关键词：

Structural stability; nonlinear Klein-Gordon equation; continuous dependence; GLOBAL EXISTENCE; BLOW-UP;

D O I：

10.3906/mat-1706-30

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article is devoted to the study of the initial-boundary value problem for the strongly damped nonlinear Klein-Gordon equation. It is proved that the solution depends continuously on changes in the damping terms, diffusion, mass, and nonlinearity effect term in the H-1 norm.

引用

页码：904 / 910

页数：7

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