Functional Analysis In Mechanics

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This book covers functional analysis and its applications to continuum mechanics. The mathematical material is treated in a non-abstract manner and is fully illuminated by the underlying mechanical ideas. The presentation is concise but complete, and is intended for specialists in continuum mechanics who wish to understand the mathematical underpinnings of the discipline. Graduate students and researchers in mathematics, physics, and engineering will find this book useful. Exercises and examples are included throughout with detailed solutions provided in the appendix.

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L.P. Lebedev I.I. Vorovich Functional Analysis in Mechanics L.P. Lebedev Departamento de Matema´ticas Universidad Nacional de Colombia Bogota´ Colombia [email protected] I.I. Vorovich (deceased) Mathematics Subject Classification (2000): 46-01, 35-01, 74-01, 76-01, 74Kxx, 35Dxx, 35Qxx Library of Congress Cataloging-in-Publication Data Lebedev, L.P Functional analysis in mechanics / L.P. Lebedev, I.I. Vorovich. p. cm. — (Springer monographs in mathematics) Includes bibliographical references and index. ISBN 0-387-95519-4 (hc : alk. paper) 1. Functional analysis. I. Lebedev, Leonid Petrovich, 1946– II. Title. III. Series. QA320 .L3483 2002 515′.7—dc21 2002075732 ISBN 0-387-95519-4 Printed on acid-free paper. 2003 Springer-Verlag New York, Inc. All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer-Verlag New York, Inc., 175 Fifth Avenue, New York, NY 10010, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electroni