Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction (Paperback, 2002 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1792
Release date:	September 2002
First published:	2002
Authors:	Dang D. Ang • Rudolf Gorenflo • Vy K. Le • Dang D. Trong
Dimensions:	229 x 152 x 10mm (L x W x T)
Format:	Paperback
Pages:	186
Edition:	2002 ed.
ISBN-13:	978-3-540-44006-2
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Promotions
LSN:	3-540-44006-2
Barcode:	9783540440062

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