Parabolic Equations with Irregular Data and Related Issues: Applications to Stochastic Differential Equations (De Gruyter Series in Applied and Numerical Mathematics)

by Claude Le Bris and Pierre-Louis Lions

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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.
  • ISBN10 3110633140
  • ISBN13 9783110633146
  • Publish Date 17 June 2019
  • Publish Status Active
  • Imprint de Gruyter
  • Format eBook
  • Pages 156
  • Language English