ABSTRACT

Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science. This book introduces some important methods for dealing with these equations and explains clearly and concisely a wide range of relevant theories and techniques. These include the semigroup method, the compactness and monotone operator

chapter 1|20 pages

Preliminaries

chapter 2|74 pages

Semigroup Method

chapter 5|46 pages

Global Solutions with Small Initial Data