Global solutions to a class of nonlinear damped wave operator equations

Boundary value problems

Zhilin Pu¹  Tian Ma²  Zhigang Pan² 

[1] College of Mathematics and Software Science, Sichuan Normal University, Chengdu, P. R. China;Yangtze Center of Mathematics, Sichuan University, Chengdu, P. R. China

关键词: nonlinear damped wave operator equations;    global solutions;    uniformly bounded;    regularity;   

DOI  :  10.1186/1687-2770-2012-42

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This study investigates the existence of global solutions to a class of nonlinear damped wave operator equations. Dividing the differential operator into two parts, variational and non-variational structure, we obtain the existence, uniformly bounded and regularity of solutions. Mathematics Subject Classification 2000: 35L05; 35A01; 35L35.

【 授权许可】

CC BY