Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-23484
Kappeler, T; Pöschel, J (2009). On the periodic KdV equation in weighted Sobolev spaces. Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire, 26(3):841-853.
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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.
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|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Deposited On:||05 Nov 2009 12:45|
|Last Modified:||28 Nov 2013 00:22|
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