Open Access Research

Global solutions to a class of nonlinear damped wave operator equations

Zhigang Pan1*, Zhilin Pu2 and Tian Ma1

Author Affiliations

1 Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, P. R. China

2 College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan 610066, P. R. China

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Boundary Value Problems 2012, 2012:42 doi:10.1186/1687-2770-2012-42

Published: 13 April 2012

Abstract

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.

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