Semigroup Approach to Nonlinear Diffusion Equations

Contents
Preface
1. Preliminaries
	1.1 Geometric Properties of Banach Spaces
	1.2 Convex Functions
	1.3 Sobolev Spaces
	1.4 Infinite-dimensional Sobolev Spaces
2. Monotone and Accretive Operators in Banach Spaces
	2.1 Maximal Monotone Operators
	2.2 Accretive Operators
	2.3 Existence Theory for the Cauchy Problem
3. Nonlinear Elliptic Boundary Value Problems
	3.1 Nonlinear Elliptic Problems of Divergence Type
	3.2 Semilinear Elliptic Operators in Lp(Ω)
	3.3 Quasilinear Partial Differential Equations of First Order
	3.4 Porous Media Equations with Drift Term
4. Nonlinear Dissipative Dynamics
	4.1 Semilinear Parabolic Equations
	4.2 The Porous Media Equation
	4.3 The Phase Field Transition with Mushy Region
	4.4 The Self-organized Criticality Equation
	4.5 The Conservation Law Equation
	4.6 The Fokker–Planck Equation
	4.7 A Fokker–Planck Like Parabolic Equation in RN
	4.8 Generalized Fokker–Planck Equation
Bibliography
Index