Investigation Methods For Inverse Problems

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Investigation Methods for Inverse Problems

Author: Vladimir G. Romanov
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2014-10-10
This monograph deals with some inverse problems of mathematical physics. It introduces new methods for studying inverse problems and gives obtained results, which are related to the conditional well posedness of the problems. The main focus lies on time-domain inverse problems for hyperbolic equations and the kinetic transport equation.
Inverse Problems of Mathematical Physics

Thismonograph deals with the theory of inverse problems of mathematical physics andapplications of such problems. Besides it considers applications and numerical methods of solving the problems under study. Descriptions of particular numerical experiments are also included.
Counterexamples in Optimal Control Theory

Author: Semen Ya. Serovaiskii
language: en
Publisher: Walter de Gruyter
Release Date: 2011-12-01
This monograph deals with cases where optimal control either does not exist or is not unique, cases where optimality conditions are insufficient of degenerate, or where extremum problems in the sense of Tikhonov and Hadamard are ill-posed, and other situations. A formal application of classical optimisation methods in such cases either leads to wrong results or has no effect. The detailed analysis of these examples should provide a better understanding of the modern theory of optimal control and the practical difficulties of solving extremum problems.