This textbook is devoted to second order linear partial differential equations. The focus is on variational formulations in Hilbert spaces. It contains elliptic

This book introduces the treatment of linear and nonlinear (quasi-linear) abstract evolution equations by methods from the theory of strongly continuous semigro

The main change in this edition is the inclusion of exercises with answers and hints. This is meant to emphasize that this volume has been written as a general

Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a

This textbook is addressed to graduate students in mathematics or other disciplines who wish to understand the essential concepts of functional analysis and the