Advanced search
Start date

Unique continuation properties for nonlinear dispersive equations.

Grant number: 11/23368-8
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Effective date (Start): August 01, 2012
Effective date (End): January 31, 2013
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal Investigator:Marcia Assumpcao Guimaraes Scialom
Grantee:José Manuel Jiménez Urrea
Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil


The nonlinear dispersive equations is a branch of the partial differential equations arising in the modeling of the propagation of nonlinear waves.One interesting problem regarding this family of equations concerns with the study of the so-called unique continuation property (UCP). In this project our main interest is to look for sufficient conditions on the solutions of these equations so that the behavior of thesolutions in two or more different times imply that the solutions vanish in the whole domain of existence of the solutions. This problem has been studied intensively in the last few years.In this direction there have been obtained important results for the Korteweg-de Vries, Nonlinear Schrodinger and Benjamin-Onoequations. We will study this property and other related properties for solutions of some relevant models that have not been treated in the literature.

News published in Agência FAPESP Newsletter about the scholarship:
Articles published in other media outlets (0 total):
More itemsLess items

Please report errors in scientific publications list by writing to: