Lectures on Nonlinear Evolution Equations

The book in hand is based on lectures which were given at the University of Bonn in the winter semesters of 1989/90 and 1990/91. The aim of the lectures was to present an elementary, self-contained introduction into some important aspects of the theory of global, small, smooth solutions to initial value problems for non linear evolution equa­ tions. The addressed audience included graduate students of both mathematics and physics who were only assumed to have abasie knowledge of linear partial