| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Inst Matemat UFRJ, Ctr Tecnol, BR-21941972 Rio De Janeiro, RJ - Brazil
[2] Univ Estadual Campinas, UNICAMP, Dept Matemat, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 34, n. 11, p. 4565-4576, NOV 2014. |
| Web of Science Citations: | 4 |
| Abstract | |
We consider the Cauchy problem associated to the generalized Benjamin-Bona-Mahony (BBM) equation for given data in the L-2-based Sobolev spaces. Depending on the order of nonlinearity and dispersion, we prove that the Cauchy problem is ill-posed for data with lower order Sobolev regularity. We also prove that, in certain range of the Sobolev regularity, even if the solution exists globally in time, it fails to be smooth. (AU) | |
| FAPESP's process: | 12/20966-4 - Well-posedness of the Cauchy problem and stability theory for nonlinear dispersive equations |
| Grantee: | Mahendra Prasad Panthee |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 12/23054-6 - Properties of solutions of some dispersive equations |
| Grantee: | Marcia Assumpcao Guimaraes Scialom |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - Brazil |