Back to Search
Start Over
Well-posedness of the Cauchy problem for Ostrovsky, Stepanyams and Tsimring equation with low regularity data
- Source :
-
Journal of Mathematical Analysis & Applications . Aug2008, Vol. 344 Issue 2, p778-787. 10p. - Publication Year :
- 2008
-
Abstract
- Abstract: In this paper we prove that the initial value problem of the OST equation (, ), where and denotes the usual Hilbert transformation, is locally well-posed in the Sobolev space when , and globally well-posed in when . [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 344
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 32070240
- Full Text :
- https://doi.org/10.1016/j.jmaa.2008.03.032