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Cover image for book Parabolic Equations with Irregular Data and Related Issues

Parabolic Equations with Irregular Data and Related Issues

Applications to Stochastic Differential Equations
By:Claude Le Bris; Pierre-Louis Lions
Publisher:De Gruyter
Print ISBN:9783110633139
eText ISBN:9783110633146
Edition:1
Copyright:2019
Format:Reflowable

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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.