Inverse Source Problems (Mathematical Surveys and Monographs)

Isakov, Victor

ISBN 10: 0821815326 / ISBN 13: 9780821815328

Published by American Mathematical Society, 1990

About this Item

Focusing on the inverse problem of potential theory and related questions such as coefficient identification problems, this book offers readers an understanding of the results of a substantial part of the theory of inverse problems and of some of the fresh ideas and methods used. It is suitable for mathematicians, physicists, and engineers. Series: Mathematical Surveys and Monographs. Num Pages: 193 pages. BIC Classification: PBKJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 230. Weight in Grams: 549. . 1990. Hardcover. . . . . Books ship from the US and Ireland.

Seller Inventory # V9780821815328

Bibliographic Details

• Title: Inverse Source Problems (Mathematical Surveys and Monographs)
• Publisher: American Mathematical Society
• Publication Date: 1990
• Language: English
• ISBN 10: 0821815326
• ISBN 13: 9780821815328
• Binding: Hardcover
• Condition: New

About this title

Synopsis

Inverse problems arise in many areas of mathematical physics, and applications are rapidly expanding to such areas as geophysics, chemistry, medicine, and engineering. The main theme of this book is uniqueness, stability, and existence of solutions of inverse problems for partial differential equations. Focusing primarily on the inverse problem of potential theory and closely related questions such as coefficient identification problems, this book will give readers an understanding of the results of a substantial part of the theory of inverse problems and of some of the new ideas and methods used. The author provides complete proofs of most general uniqueness theorems for the inverse problem of gravimetry, a detailed study of regularity properties (including examples of non-regular domains with regular potentials), counterexamples to uniqueness and uniqueness theorems, and a treatment of the theory of non-stationary problems. In addition, the book deals with the orthogonality method, formulates several important unsolved problems, and suggests certain technical means appropriate for further study; some numerical methods are also outlined. Requiring a background in the basics of differential equations and function theory, this book is directed at mathematicians specializing in partial differential equations and potential theory, as well as physicists, geophysicists, and engineers.