Barbu Viorel. Semigroup Approach to Nonlinear Diffusion Equations

World Scientific Publishing Company, 2022. — 221 p. — ISBN 9789811246517.Полугрупповой подход к нелинейным уравнениям диффузииThis 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.Preliminaries
Monotone and Accretive Operators in Banach Spaces
Nonlinear Elliptic Boundary Value Problems
Nonlinear Dissipative Dynamics