By Dang Dinh Ang, Rudolf Gorenflo, Vy Khoi Le, Dang Duc Trong (auth.)
Moment conception isn't a brand new topic; notwithstanding, in classical remedies, the ill-posedness of the matter isn't really taken under consideration - as a result this monograph. Assuming a "true" technique to be uniquely made up our minds via a chain of moments (given as integrals) of which in simple terms finitely many are inaccurately given, the authors describe and examine a number of regularization tools and derive balance estimates. Mathematically, the duty frequently is composed within the reconstruction of an analytic or harmonic functionality, as is common from concrete functions mentioned (e.g. inverse warmth conduction difficulties, Cauchy's challenge for the Laplace equation, gravimetry). The booklet can be utilized in a graduate or top undergraduate direction in Inverse difficulties, or as supplementary studying for a path on utilized Partial Differential Equations.
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