Journal
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
Volume 26, Issue 3, Pages 841-853Publisher
ELSEVIER
DOI: 10.1016/j.anihpc.2008.03.004
Keywords
Periodic KdV equation; Well posedness; Weighted Sobolev spaces
Categories
Funding
- Swiss National Science Foundation
- European Community [MRTN-CT-2004-5652]
Ask authors/readers for more resources
We prove well-posedness results for the initial value problem of the periodic KdV equation as well as KAM type results in classes of high regularity solutions. More precisely, we consider the problem in weighted Sobolev spaces, which comprise classical Sobolev spaces, Gevrey spaces, and analytic spaces. We show that the initial value problem is well posed in all spaces with subexponential decay of Fourier coefficients, and 'almost well posed' in spaces with exponential decay of Fourier coefficients. (C) 2008 Elsevier Masson SAS. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available