On the fifth-order KdV equation: Local well-posedness and lack of uniform continuity of the solution map

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In this paper we prove that the following fifth-order equation arising from the KdV hierarchy [GRAPHICS] is locally well-posed in H-s (R) for s > 5/2. Also, we prove the solution map of the equation is not uniformly continuous on a bounded set. (C) 2008 Elsevier Inc. All rights reserved.
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Issue Date
2008-11
Language
English
Article Type
Article
Keywords

BENJAMIN-ONO-EQUATION; WATER-WAVES; MODELS

Citation

JOURNAL OF DIFFERENTIAL EQUATIONS, v.245, no.9, pp.2627 - 2659

ISSN
0022-0396
DOI
10.1016/j.jde.2008.03.020
URI
http://hdl.handle.net/10203/91133
Appears in Collection
MA-Journal Papers(저널논문)
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