Gevrey Regularity of Global Attractor for Generalized Benjamin-Bona-Mahony Equation

Thumbnail Image
Files
2002-382.pdf (153.49 KB)
Author(s)
Chueshov, I.
Polat, M.
Siegmund, Stefan
Advisor(s)
Editor(s)
Associated Organization(s)
Organizational Unit
Organizational Unit
Series
Collections
Research Publications
Supplementary to:
Permanent Link
http://hdl.handle.net/1853/29483
Abstract
We prove the Gevrey regularity of the global attractor of the dynamical system generated by the generalized Benjamin-Bona-Mahony equation with periodic boundary conditions. This result means that elements of the attractor are real analytic functions in spatial variables. As an application we prove the existence of two determining nodes for the problems in one spatial dimension.
Sponsor
The first author's research partially supported by INTAS Grant 2000/899. The second author's research partially supported by TUBITAK-NATO grant.
Date
2002
Extent
Resource Type
Text
Resource Subtype
Pre-print
Rights Statement
Rights URI