Well-posedness of the Cauchy problem and stability theory for nonlinear dispersive...
Higher order models for waves in nonlinear, dispersive media
Assymptotic behaviour of solutions to the Cauchy problem for systems of evolution ...
| Grant number: | 12/00678-4 |
| Support Opportunities: | Regular Research Grants |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Rafael Fernando Barostichi |
| Grantee: | Rafael Fernando Barostichi |
| Host Institution: | Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil |
| Associated researchers: | Gerson Petronilho |
Abstract
In this research project we intend to study the well-posedness of a class of partial differential equations known as weakly dispersive equations in spaces of analytic functions, looking forward to determine what we call the maximal lifespan, that is, the maximal radius where we can guarantee the analyticity of the solution, as well as determine how the strip in the complex plane where the solution admits analytic extension behaves with respect to the strip of analyticity of the initial data, when time progresses. (AU)
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