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Layer potential methods for Vlasov-Poisson equation in parabolic Besov spaces

Grant number: 10/12725-1
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): February 01, 2011
Effective date (End): May 31, 2013
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Marcelo Martins dos Santos
Grantee:Jorge Luis Domínguez Rodríguez
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

We will investigate the existence and regularityof solutions for Vlasov-Poisson equation in parabolic Besov spaces, using the layer potential theory developed by R. Brown e Z. Shen (Rev. Mat. (1992); Ind. U. J. Math. (1995)) and the recent results by J. Rodriguez (doctoral thesis, UFRGS) and Tunde Jakap (v. T. Jakab e M. Mitrea, Math. Res. Lett. 13, 5 (2006)). We will need to define the layer potentials for Vlasov-Poisson equation and study the possible regularity yielded by them in parabolic Besov spaces. (AU)

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