Time-dependent global attractor for the nonclassical diffusion equations

Abstract

In this article, we consider the longtime behavior for the non classical diffusion equation on a bounded domain . We first prove the existence of time-dependent global attractors in , and then, we obtain the regularity of the time-dependent global attractor , i.e, is bounded in , with a bound independent of .

Keywords:

• nonclassical diffusion equations
• time-dependent global attractor
• time-dependent absorbing set

AMS Subject Classifications:

• 35B41
• 35Q35

View correction statement:

Corrigendum

Acknowledgements

The authors express their sincere thanks to the anonymous reviewer for his/her careful reading of the paper, giving valuable comments and suggestions. The authors also thank the editors for their kind help.

Notes

This article was originally published with errors. This version has been amended. Please see Corrigendum (http://dx.doi.org/10.1080/00036811.2015.1052346).