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Ill-posedness for the Camassa-Holm and related equations in Besov spaces.
- Source :
-
Journal of Differential Equations . Jan2022, Vol. 306, p403-417. 15p. - Publication Year :
- 2022
-
Abstract
- In this paper, we give a construction of u 0 ∈ B p , ∞ σ such that the corresponding solution to the Camassa-Holm equation starting from u 0 is discontinuous at t = 0 in the metric of B p , ∞ σ , which implies the ill-posedness for this equation in B p , ∞ σ. We also apply our method to the b-equation and Novikov equation. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BESOV spaces
*EQUATIONS
*WATER waves
*WATER depth
Subjects
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 306
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 153526031
- Full Text :
- https://doi.org/10.1016/j.jde.2021.10.052