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An Introduction to Variational Inequalities and Their Applications

An Introduction to Variational Inequalities and Their Applications

Part of Classics in Applied Mathematics

  • Date Published: January 1987
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898714661

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  • 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.

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    Product details

    • Date Published: January 1987
    • format: Paperback
    • isbn: 9780898714661
    • length: 333 pages
    • dimensions: 230 x 155 x 20 mm
    • weight: 0.472kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    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.

  • Authors

    David Kinderlehrer

    Guido Stampacchia

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