Publication: Low-regularity solutions of the periodic Camassa-Holm equation
Low-regularity solutions of the periodic Camassa-Holm equation
Date
Date
Date
Citations
De Lellis, C., Kappeler, T., & Topalov, P. (2007). Low-regularity solutions of the periodic Camassa-Holm equation. Communications in Partial Differential Equations, 32(1), 87–126. https://doi.org/10.1080/03605300601091470
Abstract
Abstract
Abstract
We prove local existence and uniqueness of weak solutions of the Camassa-Holm equation with periodic boundary conditions in various spaces of low-regularity which include the periodic peakons. The proof uses the connection of the Camassa-Holm equation with the geodesic flow on the diffeomorphism group of the circle with respect to the L2 metric.
Additional indexing
Creators (Authors)
- De Lellis, C
- Kappeler, T
- Topalov, P
Journal/Series Title
Journal/Series Title
Journal/Series Title
Volume
Volume
Volume
Number
Number
Number
Page Range
Page Range
Page Range
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
Additional Information
Additional Information
Additional Information
OA Status
OA Status
OA Status
Publisher DOI
Citations
De Lellis, C., Kappeler, T., & Topalov, P. (2007). Low-regularity solutions of the periodic Camassa-Holm equation. Communications in Partial Differential Equations, 32(1), 87–126. https://doi.org/10.1080/03605300601091470
