An Introduction to Variational Inequalities and Their Applications

This unabridged republication of the 1980 text, an established classic in the field, is a resource for many important topics in elliptic equations and systems and is the first modern treatment of free boundary problems. Variational inequalities (equilibrium or evolution problems typically with convex constraints) are carefully explained in An Introduction to Variational Inequalities and Their Applications. They are shown to be extremely useful across a wide variety of subjects, ranging from linear programming to free boundary problems in partial differential equations. Exciting new areas like finance and phase transformations along with more historical ones like contact problems have begun to rely on variational inequalities, making this book a necessity once again.

Spis treści:
Preface to the SIAM edition
Preface
Glossary of notations
Introduction
Part I. Variational Inequalities in Rn
Part II. Variational Inequalities in Hilbert Space
Part III. Variational Inequalities for Monotone Operators
Part IV. Problems of Regularity
Part V. Free Boundary Problems and the Coincidence Set of the Solution
Part VI. Free Boundary Problems Governed by Elliptic Equations and Systems
Part VII. Applications of Variational Inequalities
Part VIII. A One Phase Stefan Problem
Bibliography
Index.