Monotone Operators in Banach Space and Nonlinear Partial Differential Equations (Mathematical Surveys and Monographs)

R. E. Showalter

Published by American Mathematical Society, 1996
ISBN 10: 0821805002 / ISBN 13: 9780821805008
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Synopsis: The objectives of this monograph are to present some topics from the theory of monotone operators and nonlinear semigroup theory which are directly applicable to the existence and uniqueness theory of initial-boundary-value problems for partial differential equations and to construct such operators as realizations of those problems in appropriate function spaces. A highlight of this presentation is the large number and variety of examples introduced to illustrate the connection between the theory of nonlinear operators and partial differential equations. These include primarily semilinear or quasilinear equations of elliptic or of parabolic type, degenerate cases with change of type, related systems and variational inequalities, and spatial boundary conditions of the usual Dirichlet, Neumann, Robin or dynamic type. The discussions of evolution equations include the usual initial-value problems as well as periodic or more general nonlocal constraints, history-value problems, those which may change type due to a possibly vanishing coefficient of the time derivative, and other implicit evolution equations or systems including hysteresis models. The scalar conservation law and semilinear wave equations are briefly mentioned, and hyperbolic systems arising from vibrations of elastic-plastic rods are developed. The origins of a representative sample of such problems is given in the Appendix.

About the Author: R. E. Showalter , Oregon State University, Corvallis, OR, USA.

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Title: Monotone Operators in Banach Space and ...
Publisher: American Mathematical Society
Publication Date: 1996
Book Condition: Very Good

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R. E. Showalter
Published by American Mathematical Society (1997)
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Book Description American Mathematical Society, 1997. Book Condition: Good. Volume 49. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. , 850grams, ISBN:9780821805008. Bookseller Inventory # 6865928

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R. E. Showalter
Published by American Mathematical Society (1996)
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