On the low regularity of the Benney-Lin equation
In: Journal of mathematical analysis and applications, Jg. 339 (2008), Heft 2, S. 1134-1147
Online
academicJournal
- print, 14 ref
We consider the low regularity of the Benney-Lin equation ut + uux + uxxx + β(uxx + uxxxx) + nuxxxxx = 0. We established the global well posedness for the initial value problem of Benney-Lin equation in the Sobolev spaces Hs (R) for 0 ≥ s > -2, improving the well-posedness result of Biagioni and Linares [H.A. Biaginoi, F. Linares, On the Benney-Lin and Kawahara equation, J. Math. Anal. Appl. 211 (1997) 131-152]. For s < -2 we also prove some ill-posedness issues.
Titel: |
On the low regularity of the Benney-Lin equation
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Autor/in / Beteiligte Person: | WENGU, CHEN ; JUNFENG, LI |
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Zeitschrift: | Journal of mathematical analysis and applications, Jg. 339 (2008), Heft 2, S. 1134-1147 |
Veröffentlichung: | San Diego, CA: Elsevier, 2008 |
Medientyp: | academicJournal |
Umfang: | print, 14 ref |
ISSN: | 0022-247X (print) |
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