Parabolic Equations with Irregular Data and Related Issues
Description
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.
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Persons
Claude Le Bris , École des Ponts ParisTech & Inria, France; Pierre-Louis Lions, Coll. de France & CEREMADE, Uni. Paris-Dauphine, France.
Content
- Intro
- Contents
- Introduction
- 1. General context
- 2. Operators with constant second-order term
- 3. Equations in divergence form
- 4. Extensions
- Bibliography
- Index
