Inverse problems for partial differential equations

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Authors
Isakov, Victor
Issue Date
2017
Type
Monograph
Book
Language
en_US
Keywords
Inverse problems , Ill-posed problems , Carleman Estimates , Uniqueness and stability of the continuation , Remote sensing , Tomography , Research Subject Categories , Mathematics -- Computer science , Differential equations, partial
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Abstract

This third edition expands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years. As in the second edition, the emphasis is on new ideas and methods rather than technical improvements. These new ideas include use of the stationary phase method in the two-dimensional elliptic problems and of multi frequencies\temporal data to improve stability and numerical resolution. There are also numerous corrections and improvements of the exposition throughout.

This book is intended for mathematicians working with partial differential equations and their applications, physicists, geophysicists, and financial, electrical, and mechanical engineers involved with nondestructive evaluation, seismic exploration, remote sensing, and various kinds of tomography.

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Citation
Isakov, Victor. Inverse problems for partial differential equations. 3rd edition. Springer, 2017.
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Springer
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