Existence of solutions to strongly damped quasilinear wave equations

Advances in Difference Equations

Li-mei Li¹  Hong Luo¹  Tian Ma² 

[1] College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan, China;College of Mathematics, Sichuan University, Chengdu, Sichuan, China

关键词: existence;    solution;    wave equations;    strongly damped;    quasi-linear;   

DOI  :  10.1186/1687-1847-2012-139

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the strongly damped quasilinear wave equation. By using spatial sequence techniques and energy estimate methods, we obtain the existence theorem of the solution to abstract a strongly damped wave equation and to a class of strongly damped quasilinear wave equations. MSC:35L05, 35L20, 35D30, 35D35.

【 授权许可】

CC BY