Ebook: Semigroup Approach to Nonlinear Diffusion Equations
Author: Viorel Barbu
- Genre: Mathematics // Differential Equations
- Tags: Banach Spaces Sobolev Spaces Monotone Operators Accretive Operators Nonlinear PDEs
- Year: 2022
- Publisher: World Scientific
- Edition: 1
- Language: English
- pdf
This book is concerned with functional methods (nonlinear semigroups of contractions, nonlinear m-accretive operators and variational techniques) in the theory of nonlinear partial differential equations of elliptic and parabolic type. In particular, applications to the existence theory of nonlinear parabolic equations, nonlinear Fokker-Planck equations, phase transition and free boundary problems are presented in details. Emphasis is put on functional methods in partial differential equations (PDE) and less on specific results.
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