Lord, Gabriel J. and Stuart, Andrew M. (1995) Discrete Gevrey regularity attractors and uppers–semicontinuity for a finite difference approximation to the Ginzburg–Landau equation. Numerical Functional Analysis and Optimization, 16 (7-8). pp. 1003-1047. ISSN 0163-0563. doi:10.1080/01630569508816658. https://resolver.caltech.edu/CaltechAUTHORS:20170613-143108777
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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.
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| 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. | |||||||||
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| Issue or Number: | 7-8 | |||||||||
| Classification Code: | AMS(MOS) Subject Classification: 65M06, 35B40, 34C35 | |||||||||
| DOI: | 10.1080/01630569508816658 | |||||||||
| Record Number: | CaltechAUTHORS:20170613-143108777 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170613-143108777 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 78175 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 13 Jun 2017 21:46 | |||||||||
| Last Modified: | 15 Nov 2021 17:37 |
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