Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction (Lecture Notes in Mathematics)
1 edition
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Publication
2002-10-03 - Springer
Language
English
Word Count
45,750 words, Guess
Page Count
183 pages
Physical Format
Paperback
Identifiers
- Internet Archivemomenttheoryinve00angd
- Internet Archivemomenttheorysome00angd
- ISBN-103540440062
- ISBN-139783540440062
- Library of Congress Control Number2002029200
and 3 more
- OCLC Control Number50252016
- Better World Books9783540440062
- Open LibraryOL9057863M
Classifications
- LCCQA3 .L28 no. 1792
- LCCQA432 .L28 no. 1792
- LCCQA1-939
Description
Moment Theory is not a new subject; however, in classical treatments, the ill-posedness of the problem is not taken into account - hence this monograph. Assuming a "true" solution to be uniquely determined by a sequence of moments (given as integrals) of which only finitely many are inaccurately given, the authors describe and analyze several regularization methods and derive stability estimates. Mathematically, the task often consists in the reconstruction of an analytic or harmonic function, as is natural from concrete applications discussed (e.g. inverse heat conduction problems, Cauchy's problem for the Laplace equation, gravimetry). The book can be used in a graduate or upper undergraduate course in Inverse Problems, or as supplementary reading for a course on Applied Partial Differential Equations.
Subjects
Topics
Other Editions
- Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction (Lecture Notes in Mathematics)
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