Inverse Problems for Partial Differential Equations

Inverse Problems for Partial Differential Equations

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A comprehensive description of the current theoretical and numerical aspects of inverse problems in partial differential equations. Applications include recovery of inclusions from anomalies of their gravity fields, reconstruction of the interior of the human body from exterior electrical, ultrasonic, and magnetic measurement. By presenting the data in a readable and informative manner, the book introduces both scientific and engineering researchers as well as graduate students to the significant work done in this area in recent years, relating it to broader themes in mathematical analysis.According to (8.1.10), the data g0(; g1) and g1(; 8) of the inverse problems with the Neumann data g1 and 5 are related via (8-1-11) g0(l;31) I /t31(-Y)80(la#39; a€” S;5) dSAr 0 which can be considered a Volterra-type integral equation with respect toanbsp;...

Title:Inverse Problems for Partial Differential Equations
Author:Victor Isakov
Publisher:Springer Science & Business Media - 2006-06-02


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