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Blow-up of solutions to the DGH equation
- Source :
-
Journal of Functional Analysis . Sep2007, Vol. 250 Issue 1, p227-248. 22p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper, firstly we find best constants for two convolution problems on the unit circle via a variational method. Then we apply the best constants on a nonlinear integrable shallow water equation (the DGH equation) to give sufficient conditions on the initial data, which guarantee finite time singularity formation for the corresponding solutions. Finally, we discuss the blow-up phenomena for the nonperiodic case. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00221236
- Volume :
- 250
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Functional Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 25952786
- Full Text :
- https://doi.org/10.1016/j.jfa.2007.04.019