On the study of local solutions for a generalized Camassa-Holm equation (Q448597)
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scientific article; zbMATH DE number 6078671
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the study of local solutions for a generalized Camassa-Holm equation |
scientific article; zbMATH DE number 6078671 |
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On the study of local solutions for a generalized Camassa-Holm equation (English)
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7 September 2012
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Summary: The pseudoparabolic regularization technique is employed to study the local well-posedness of strong solutions for a nonlinear dispersive model, which includes the famous Camassa-Holm equation. The local well-posedness is established in the Sobolev space \(H^s(\mathbb{R})\) with \(s > 3/2\) via a limiting procedure.
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