Inverse Problems for Partial Differential Equations

The topic of the inverse problems is of substantial and rapidly growinginterest for many scientists and engineers. The second edition covers mostimportant recen... » 

The topic of the inverse problems is of substantial and rapidly growinginterest for many scientists and engineers. The second edition covers mostimportant recent developments in the field of inverse problems describingtheoretical and computational methods and emphasizing new ideas andtechniques. It also reflects new changes since the first edition includingsome corrections. This edition is considerably expanded with some conceptssuch as pseudoconvexity and proofs simplified. New material is added toreflect recent progress in theory of inverse problems. This book is intendedfor mathematicians working with partial differential equations and theirapplications and physicists geophysicists and engineers involved withexperiments in nondestructive evaluation seismic exploration remote sensingand tomography. TOCPreface. Inverse problems. IllPosed Problems andRegularization. Uniqueness and Stability in the Cauchy Problem. EllipticEquations Single Boundary Measurements. Elliptic Equations Many BoundaryMeasurements. Scattering Problems. Integral Geometry and Tomography.Hyperbolic Equations. Parabolic Equations. Some Numerical Methods.Appendix. References. Index. «