Inverse Problems for Partial Differential Equations
Inverse Problems for Partial Differential Equations
This third editionexpands 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. Asin the secondedition, the emphasisison newideas andmethodsratherthan technical improvements.Thesenew ideas include use of the stationary phase methodin the two-dimensional elliptic problemsandof multi frequencies\temporal datato improve stability andnumerical resolution. There are also numerous corrections andimprovementsof 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. Review of the second edition: "The first edition of this excellent book appeared in 1998 and became a standard reference for everyone interested in analysis and numerics of inverse problems in partial differential equations. The second edition is considerably expanded and reflects important recent developments in the field . Some of the research problems from the first edition have been solved ." (Johannes Elschner, Zentralblatt MATH, Vol. 1092 (18), 2006).
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