Dedicated to Academician Mikhail Lavrentiev

Ill-Posed & Inverse Problems

Edited by V.G. Romanov, et al.

December 2002

VSP

ISBN: 90-6764-362-9

480 pages, Illustrated, 6 3/8 x 9 5/8"

$290.00 hardcover

Contents include: Representations of functions of many complex variables and inverse problems for kinetic equations. Uniqueness in determining piecewise analytic coefficients in hyperbolic equations. Direct and inverse problems for evolution integro-differential equations of the first-order in time. How to see waves under the Earth surface (the BC-method for geophysicists). Global theorem of uniqueness of solution to inverse coefficient problem for a quasilinear hyperbolic equation. Identification of parameters in polymer crystallization, semiconductor models and elasticity via iterative regularization methods. The tomato salad problem in spherical stereology. Two methods in inverse problem and extraction formulae. Identification of the unknown potential in the nonstationary Schrödinger equation. Iterative methods of solving inverse problems for hyperbolic equations. Carleman estimates and inverse problems: Uniqueness and convexification of multiextremal objective functions. Convergence analysis of a Landweber-Kaczmarz method for solving nonlinear ill-posed problems. A sampling method for an inverse boundary value problem for harmonic vector fields. Approaching a partial differential equation of mixed elliptic-hyperbolic type. Complex geometrical optics solutions and pseudoanalytic matrices. Numerical solution of inverse evolution problems via the nonlinear Levitan equation. An inverse problem for a parabolic equation with final overdetermination. Uniqueness theorems for an inverse problem related to local heterogeneities and data on a piece of a plane. On ill-posed problems and Professor Lavrentiev. Regularization and iterative approximation for linear ill-posed problems in the space of functions of bounded variation. A posteriori error estimation for ill-posed problems on some sourcewise represented or compact sets. Multidimensional inverse problems for hyperbolic equations with point sources.

Mathematics

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