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The Cauchy problem for shallow water waves of large amplitude in Besov space.
- Source :
-
Journal of Differential Equations . Jul2019, Vol. 267 Issue 3, p1705-1730. 26p. - Publication Year :
- 2019
-
Abstract
- In this paper, we consider a nonlinear evolution equation modelling the propagation of surface waves in the shallow water regime of large amplitude, which is characterised by some cubical nonlinearities. First, we establish the local well-posedness in Besov space B 2 , 1 3 / 2. Then, we give a blow-up criterion. Finally, with a given analytic initial data, we establish the analyticity of the solutions in both variables, globally in space and locally in time. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 267
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 136156732
- Full Text :
- https://doi.org/10.1016/j.jde.2019.02.019