Publication: On the periodic KdV equation in weighted Sobolev spaces
On the periodic KdV equation in weighted Sobolev spaces
Date
Date
Date
Citations
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, 841–853. https://doi.org/10.1016/j.anihpc.2008.03.004
Abstract
Abstract
Abstract
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.
Metrics
Views
Additional indexing
Creators (Authors)
- Kappeler, T
- Pöschel, J
Journal/Series Title
Journal/Series Title
Journal/Series Title
Volume
Volume
Volume
Number
Number
Number
Page range/Item number
Page range/Item number
Page range/Item number
Page end
Page end
Page end
Item Type
Item Type
Item Type
In collections
Language
Language
Language
Publication date
Publication date
Publication date
Date available
Date available
Date available
ISSN or e-ISSN
ISSN or e-ISSN
ISSN or e-ISSN
OA Status
OA Status
OA Status
Publisher DOI
Metrics
Views
Citations
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, 841–853. https://doi.org/10.1016/j.anihpc.2008.03.004
