Well-posedness of the Cauchy problem of Ostrovsky equation in anisotropic Sobolev spaces
✍ Scribed by Hua Wang; Shangbin Cui
- Book ID
- 108175561
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 172 KB
- Volume
- 327
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
In this paper we establish the local and global well-posedness of the real valued fifth order Kadomtsev-Petviashvili I equation in the anisotropic Sobolev spaces with nonnegative indices. In particular, our local well-posedness improves Saut-Tzvetkov's one and our global well-posedness gives an affi
## Abstract In this paper, we consider local well‐posedness and ill‐posedness questions for the fractal Burgers equation. First, we obtain the well‐posedness result in the critical Sobolev space. We also present an unconditional uniqueness result. Second, we show the ill‐posedness from the point of