|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
26 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Low regularity solution of a 5th-order KdV equation | | Wengu Chen
; Junfeng Li
; Changxing Miao
; Jiahong Wu
; | | Date: |
15 Oct 2007 | | Abstract: | The Kawahara and modified Kawahara equations are fifth-order KdV type
equations and have been derived to model many physical phenomena such as
gravity-capillary waves and magneto-sound propagation in plasmas. This paper
establishes the local well-posedness of the initial-value problem for Kawahara
equation in $H^s({mathbf R})$ with $s>-frac74$ and the local well-posedness
for the modified Kawahara equation in $H^s({mathbf R})$ with $sge-frac14$.
To prove these results, we derive a block estimate for the Kawahara equation
through the $[k; Z]$ multiplier norm method of Tao cite{Tao2001} and use this
to obtain new bilinear and trilinear estimates in suitable Bourgain spaces. | | Source: | arXiv, 0710.2704 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER