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Developing an approach to the question of existence, uniqueness and stability of solutions, this work presents a systematic elaboration of the theory of inverse problems for all principal types of partial differential equations. It covers up-to-date methods of linear and nonlinear analysis, the theory of differential equations in Banach spaces, applications of functional analysis, and semigroup theory.
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METHODSFOR SOLVING INVERSE PROBLEMS IN MATHEMATICALPHYSICS AlekseyI. Prilepko Moscow State University Moscow,Russia DmitryG. Orlovsky Igor A. Vasin Moscow State Institute Moscow,Russia of Engineering Physics MARCEL DEKKER,INC. DEKKER NEWYORK- BASEL Library of CongressCataloging-in-Publication Prilepko, A. I. (Aleksei Ivanovich) Methodsfor solving inverse problemsin mathematicalphysics / AlekseyI. Prilepko, DmitryG. Orlovsky,Igor A. Vasin. p. crn. -- (Monographsand textbooks in pure and applied mathematics; 222) Includes bibliographical references and index. ISBN0-8247-1987-5 (all paper) 1. Inverse problems(Differential equations)~Numericalsolutions. Mathematicalphysics. I. Orlovsky, DmitryG. II. Vasin, Igor A. III. Title. IV. Series. QC20.7.DSP73 1999 530.15’535~c21 99-15462 CIP Thisbookis printedonacid-freepaper. Headquarters MarcelDekker,Inc. 270 MadisonAvenue, NewYork, NY10016 tel: 212-696-9000; fax: 212-685-4540 EasternHemisphere Distribution Marcel Dekker AG Hutgasse4, Postfach812, CH-4001 Basel, Switzerland tel: 41-61-261-8482; fax: 41-61-261-8896 WorldWideWeb http://www.dekker.com Thepublisheroffers discountsonthis bookwhenorderedin bulkquantities. Formoreinformation,write to SpecialSales/Professional Marketing at the headquarters addressabove. Copyright© 2000by MarcelDekker,Inc. All RightsReserved. Neither this booknor any part maybe reproducedor transmitted in any formor by any means,electr