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The Camassa Holm equation: conserved quantities and the initial value problem

โœ Scribed by Michael Fisher; Jeremy Schiff


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
67 KB
Volume
259
Category
Article
ISSN
0375-9601

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โœฆ Synopsis


Using a Miura-Gardner-Kruskal type construction, we show that the Camassa-Holm equation has an infinite number of local conserved quantities. We explore the implications of these conserved quantities for global well-posedness.


๐Ÿ“œ SIMILAR VOLUMES


On the Inverse Spectral Problem for the
โœ Adrian Constantin ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 306 KB

A key basis for seeking periodic solutions of the Camassa Holm equation is to understand the associated spectral problem y$= 1 4 y+\*my. The periodic spectrum can be recovered from the norming constants and the elements of the auxiliary spectrum. The potential can then be reconstructed from the peri