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Inverse Problems and Carleman Estimates
Global Uniqueness, Global Convergence and Experimental Data
PDF
Sofort lieferbar | Lieferzeit: Sofort lieferbar I
ISBN-13:
9783110745481
Veröffentl:
2021
Einband:
PDF
Seiten:
344
Autor:
Michael V. Klibanov
Serie:
Inverse and Ill-Posed Problems Series
eBook Typ:
PDF
eBook Format:
PDF
Kopierschutz:
Adobe DRM [Hard-DRM]
Sprache:
Englisch
Beschreibung:
This book summarizes the main analytical and numerical results of Carleman estimates. In the analytical part, Carleman estimates for three main types of Partial Differential Equations (PDEs) are derived. In the numerical part, first numerical methods are proposed to solve ill-posed Cauchy problems for both linear and quasilinear PDEs. Next, various versions of the convexification method are developed for a number of Coefficient Inverse Problems.
This book summarizes the main analytical and numerical results of Carleman estimates. In the analytical part, Carleman estimates for three main types of Partial Differential Equations (PDEs) are derived. In the numerical part, first numerical methods are proposed to solve ill-posed Cauchy problems for both linear and quasilinear PDEs. Next, various versions of the convexification method are developed for a number of Coefficient Inverse Problems.