Parabolic Equations with Irregular Data and Related Issues: Applications to Stochastic Differential Equations
Jun 2019 · De Gruyter Series in Applied and Numerical Mathematics Book 4 · Walter de Gruyter GmbH & Co KG
Ebook
156
Pages
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About this ebook
This book studies the existence and uniqueness of solutions to parabolic-type equations with irregular coefficients and/or initial conditions. It elaborates on the DiPerna-Lions theory of renormalized solutions to linear transport equations and related equations, and also examines the connection between the results on the partial differential equation and the well-posedness of the underlying stochastic/ordinary differential equation.
About the author
Claude Le Bris, École des Ponts ParisTech & Inria, France; Pierre-Louis Lions, Coll. de France & CEREMADE, Uni. Paris-Dauphine, France.
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