Inverse Problems for Partial Differential Equations

Covers most important recent developments in inverse problems Presented in a readable and informative manner 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 Includes current open research problems Includes supplementary material: sn.pub/extras

Zusammenfassung

Inhalt
Inverse Problems.- Ill-Posed Problems and Regularization.- Uniqueness and Stability in the Cauchy Problem.- Elliptic Equations: Single Boundary Measurements.- Elliptic Equations: Many Boundary Measurements.- Scattering Problems and Stationary Waves.- Integral Geometry and Tomography.- Hyperbolic Problems.- Inverse Parabolic Problems.- Some Numerical Methods.- Appendix: Functional Spaces.