Parabolic Equations with Irregular Data and Related Issues: Applications to Stochastic Differential Equations
Parabolic Equations with Irregular Data and Related Issues: Applications to Stochastic Differential Equations
by Claude Le Bris and Pierre-Louis Lions
English | 2019 | ISBN: 3110633132 | 156 Pages | True PDF | 1.44 MB
by Claude Le Bris and Pierre-Louis Lions
English | 2019 | ISBN: 3110633132 | 156 Pages | True PDF | 1.44 MB
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.