Title of article
Logarithmic Sobolev inequalities for some nonlinear PDEʹs
Author/Authors
Claudie Malrieu Eliaou، نويسنده , , F.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
24
From page
109
To page
132
Abstract
The aim of this paper is to study the behavior of solutions of some nonlinear partial differential equations of Mac Kean–Vlasov type. The main tools used are, on one hand, the logarithmic Sobolev inequality and its connections with the concentration of measure and the transportation inequality with quadratic cost; on the other hand, the propagation of chaos for particle systems in mean field interaction.
Keywords
Relative entropy , Concentration of measure , Interacting particle system , logarithmic Sobolev inequality , Propagation of chaos
Journal title
Stochastic Processes and their Applications
Serial Year
2001
Journal title
Stochastic Processes and their Applications
Record number
1576886
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