Handbook of Applied Analysis
Accurate models to describe real-world phenomena are indispensable for research in such scientific fields as physics, engineering, biology, chemistry, and economics. The tools and techniques of applied analysis facilitate the development of mathematical m
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Advances in Mechanics and Mathematics VOLUME 19 Series Editors David Y. Gao (Virginia Polytechnic Institute and State University) Ray W. Ogden (University of Glasgow)
Advisory Board Ivar Ekeland (University of British Columbia, Vancouver) Tim Healey (Cornell University, USA) Kumbakonam Rajagopal (Texas A&M University, USA) Tudor Ratiu (École Polytechnique Fédérale, Lausanne) David J. Steigmann (University of California, Berkeley)
Aims and Scope Mechanics and mathematics have been complementary partners since Newton’s time, and the history of science shows much evidence of the beneficial influence of these disciplines on each other. The discipline of mechanics, for this series, includes relevant physical and biological phenomena such as: electromagnetic, thermal, quantum effects, biomechanics, nanomechanics, multiscale modeling, dynamical systems, optimization and control, and computational methods. Driven by increasingly elaborate modern technological applications, the symbiotic relationship between mathematics and mechanics is continually growing. The increasingly large number of specialist journals has generated a complementarity gap between the partners, and this gap continues to widen. Advances in Mechanics and Mathematics is a series dedicated to the publication of the latest developments in the interaction between mechanics and mathematics and intends to bridge the gap by providing interdisciplinary publications in the form of monographs, graduate texts, edited volumes, and a special annual book consisting of invited survey articles.
HANDBOOK OF APPLIED ANALYSIS
By NIKOLAOS S. PAPAGEORGIOU National Technical University, Athens, Greece SOPHIA TH. KYRITSI-YIALLOUROU Hellenic Naval Academy, Piraeu s, Greece
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N.S. Papageorgiou National Technical University Department of Mathematics 157 80 Athens Zografou Campus Greece [email protected]
S. Th. Kyritsi-Yiallourou Hellenic Naval Academy Military Institute of University Education Leoforos Chatzikyriakou 185 39 Piraeus Greece [email protected]
Series Editors: David Y. Gao Department of Mathematics Virginia Polytechnic Institute and State University Blacksburg, VA 24061 [email protected]
Ray W. Ogden Department of Mathematics University of Glasgow Glasgow, Scotland, UK [email protected]
ISBN 978-0-387-78906-4 e-ISBN 978-0-387-78907-1 DOI 10.1007/b120946 Springer Dordrecht Heidelberg London New York Library of Congress Control Number: 2009927202 Mathematics Subject Classification (2000): 34xx, 35xx, 46xx, 47xx, 49xx, 90xx, 91xx © Springer Science+Business Media, LLC 2009 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by simil
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