Journal Menu

Abstracting and Indexing
Aims and Scope
Article Processing Charges
Author Guidelines
Bibliographic Information
Contact Information
Editorial Board
Editorial Workflow
Reviewers Acknowledgment
Subscription Information

Abstract
Full-Text PDF
Linked References
How to Cite this Article

Journal of Inequalities and Applications 
Volume 2006 (2006), Article ID 52498, 10 pages
doi:10.1155/JIA/2006/52498

On basin of zero-solutions to a semilinear parabolic equation with Ornstein-Uhlenbeck operator

Yasuhiro Fujita

Department of Mathematics, Toyama University, Toyama 930-8555, Japan

Received 27 April 2005; Accepted 10 July 2005

Abstract

We consider the basin of the zero-solution to a semilinear parabolic equation on ℝN with the Ornstein-Uhlenbeck operator. Our aim is to show that the Ornstein-Uhlenbeck operator contributes to enlargement of the basin by using the logarithmic Sobolev inequality.