Gevrey class regularity for the time-dependent Ginzburg-Landau equations

Authors
Chae, DH Han, JM
Citation
Dh. Chae et Jm. Han, Gevrey class regularity for the time-dependent Ginzburg-Landau equations, Z ANG MATH, 50(2), 1999, pp. 244-257
Citations number
6
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN journal
00442275 → ACNP
Volume
50
Issue
2
Year of publication
1999
Pages
244 - 257
Database
ISI
SICI code
0044-2275(199903)50:2<244:GCRFTT>2.0.ZU;2-0
Abstract
In this paper we show that the strong solutions of the time-dependent Ginzb urg-Landau equations in periodic domain are analytic in time with values in a Gevrey class of functions. As an immediate corollary we find that the so lutions become smooth immediately after the initial time.