Identification Problems Of Wave Phenomena
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Identification Problems of Wave Phenomena
Author: A. Lorenzi
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2014-07-24
No detailed description available for "Identification Problems of Wave Phenomena".
Inverse Problems of Wave Processes
Author: A. S. Blagoveshchenskii
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2014-07-24
This monograph covers dynamical inverse problems, that is problems whose data are the values of wave fields. It deals with the problem of determination of one or more coefficients of a hyperbolic equation or a system of hyperbolic equations. The desired coefficients are functions of point. Most attention is given to the case where the required functions depend only on one coordinate. The first chapter of the book deals mainly with methods of solution of one-dimensional inverse problems. The second chapter focuses on scalar inverse problems of wave propagation in a layered medium. In the final chapter inverse problems for elasticity equations in stratified media and acoustic equations for moving media are given.
Kernel Determination Problems in Hyperbolic Integro-Differential Equations
Author: Durdimurod K. Durdiev
language: en
Publisher: Springer Nature
Release Date: 2023-06-18
This book studies the construction methods for solving one-dimensional and multidimensional inverse dynamical problems for hyperbolic equations with memory. The theorems of uniqueness, stability and existence of solutions of these inverse problems are obtained. This book discusses the processes, by using generalized solutions, the spread of elastic or electromagnetic waves arising from sources of the type of pulsed directional “impacts” or “explosions”. This book presents new results in the study of local and global solvability of kernel determination problems for a half-space. It describes the problems of reconstructing the coefficients of differential equations and the convolution kernel of hyperbolic integro-differential equations by the method of Dirichlet-to-Neumann. The book will be useful for researchers and students specializing in the field of inverse problems of mathematical physics.