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cover of the book Parabolic Equations with Irregular Data and Related Issues: Applications to Stochastic Differential Equations

Ebook: Parabolic Equations with Irregular Data and Related Issues: Applications to Stochastic Differential Equations

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16.02.2024
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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.

  • An authoritative treatment of existence and uniqueness questions for parabolic PDE's with irregular data
  • Of interest to mathematicians working in PDE's and applications
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