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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
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