Published May 15, 1995
| public
Journal Article
Discrete Gevrey regularity attractors and uppers–semicontinuity for a finite difference approximation to the Ginzburg–Landau equation
- Creators
- Lord, Gabriel J.
-
Stuart, Andrew M.
Abstract
A semi-discrete spatial finite difference approximation to the complex Ginzburg-Landau equation with cubic non-linearity is considered. Using the fractional powers of a sectorial operator, discrete versions of the Sobolev spaces H^5, and Gevrey classes of regularity G, are introduced.Discrete versions of some standard Sobolev space norm inequalities are proved.
Additional Information
© 1995 Marcel Dekker, Inc. Received: January 1995. Accepted: July 1995. Supported by the Science and Engineering Research Council, U. K. Funded by the Office of Naval Research under contract number N00014-92-J1876 and NSF under grant number DMS-9201727.Additional details
- Eprint ID
- 78175
- Resolver ID
- CaltechAUTHORS:20170613-143108777
- Science and Engineering Research Council (SERC)
- N00014-92-J1876
- Office of Naval Research (ONR)
- DMS-9201727
- NSF
- Created
-
2017-06-13Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
- Other Numbering System Name
- Andrew Stuart
- Other Numbering System Identifier
- J31