An introduction to variational inequalities and their applications: Originally published: New York : Academic Press, 1980
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Bibliographic Details
Main Authors: Kinderlehrer, David 1941- (Author), Stampacchia, Guido 1922-1978 (Author)
Format: Electronic eBook
Language:English
Published: Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) c2000
Series:Classics in applied mathematics 31
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Item Description:Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader
Includes bibliographical references and index
Preface to the SIAM edition -- Preface -- Glossary of notations -- Introduction -- I. Variational inequalities in Rn -- II. Variational inequalities in Hilbert space -- III. Variational inequalities for monotone operators -- IV. Problems of regularity -- V. Free boundary problems and the coincidence set of the solution -- VI. Free boundary problems governed by elliptic equations and systems -- VII. Applications of variational inequalities -- VIII. A one phase Stefan problem -- Bibliography -- Index
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
Physical Description:1 Online-Ressource (xx, 313 Seiten)
ISBN:9780898714661
0898714664
DOI:10.1137/1.9780898719451

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