Article citationsMore>>

Ogawa, T. and Takeda, H. (2011) Large Time Behavior of Solutions for a System of Nonlinear Damped Wave Equations. Journal of Differential Equations, 251, 3090-3113.
http://dx.doi.org/10.1016/j.jde.2011.07.034

has been cited by the following article:

• TITLE: Uniform Exponential Attractors for Non-Autonomous Strongly Damped Wave Equations

  AUTHORS: Hongyan Li

  KEYWORDS: Exponential Attractor, Uniform Attractor, Strongly Damped Wave Equation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.2 No.8, July 4, 2014

  ABSTRACT: In this paper, we study the existence of exponential attractors for strongly damped wave equations with a time-dependent driving force. To this end, the uniform H?lder continuity is established to the variation of the process in the phase apace. In a certain parameter region, the exponential attractor is a uniformly exponentially attracting time-dependent set in the phase apace, and is finite-dimensional no matter how complex the dependence of the external forces on time is. On this basis, we also obtain the existence of the infinite-dimensional uniform exponential attractor for the system.