Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction (Lecture Notes in Mathematics, 1792, Band 1792) - Softcover

Le, Vy K.; Ang, Dang D.; Gorenflo, Rudolf; Trong, Dang D.

 
9783540440062: Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction (Lecture Notes in Mathematics, 1792, Band 1792)
Softcover
ISBN 10: 3540440062 ISBN 13: 9783540440062
Verlag: Springer, 2008

Inhaltsangabe

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.

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Verlag
Springer
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
3540440062
ISBN 13 
9783540440062
Einband
Taschenbuch
Anzahl der Seiten
196
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