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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction

Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction

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

Paperback

Series: Lecture Notes in Mathematics, Book 1792

CalculusGeneral Mathematics

ISBN10: 3540440062
ISBN13: 9783540440062
Publisher: Springer Nature
Published: Sep 4 2002
Pages: 186
Weight: 0.62
Height: 0.42 Width: 6.14 Depth: 9.21
Language: English
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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