Author: V. G. Cherednichenko
Publisher: Walter de Gruyter
Keywords: inverse, problems, series, posed, problem, logarithmic, potential
Number of Pages: 247
Published: 1996-04
List price: $231.00
ISBN-10: 9067642029
ISBN-13: 9789067642026

This monograph deals with the solvability of the inverse potential problem in the two-dimensional case. A new method based on the theory of boundary-value problems for analytic functions and univalent functions is constructed, and local existence theorems, a priori estimates, and a parameter continuation method are established. Furthermore, the smoothness of the inverse problem solution is investigated. The obtained results are applied to geologic interpretation of gravitational and magnetic fields. The following sections of mathematical analyses are used: harmonic functions; boundary-value pr

Authors:Khosrow Chadan, David Colton, Lassi Päivärinta, Willi
Publisher: Society for Industrial Mathematics
Keywords: inverse, mathematical, modeling, computation, monographs, problems, scattering, spectral, introduction
Number of Pages: 208
Published: 1987-01-01
List price: $68.00
ISBN-10: 0898713870
ISBN-13: 9780898713879

Inverse problems attempt to obtain information about structures by non-destructive measurements. This introduction to inverse problems covers three central areas: inverse problems in electromagnetic scattering theory; inverse spectral theory; and inverse problems in quantum scattering theory.

Authors:M. V. Klibanov, A. A. Timonov,
Publisher: Walter de Gruyter Inc
Keywords: inverse, problems, posed, series, applications, numerical, estimates, carleman, coefficient
Number of Pages: 280
Published: 2004-04
List price: $237.00
ISBN-10: 9067644056
ISBN-13: 9789067644051

Authors:M. M. Lavrentev, A. V. Avdeev, V. I. Priimenko,
Publisher: Walter de Gruyter
Keywords: inverse, problems, posed, mathematical, physics
Number of Pages: 275
Published: 2003-10
List price: $262.00
ISBN-10: 9067643963
ISBN-13: 9789067643962

This work deals mostly with the theoretical aspects and treats some applications of inverse problems of mathematical physics, as well as numerical methods of solving problems.

Author: Italy) INdAM Workshop on Inverse Problems and Appl
Publisher: American Mathematical Society
Keywords: applications, theory, problems, inverse
Number of Pages: 224
Published: 2003-12
List price: $62.00
ISBN-10: 0821833677
ISBN-13: 9780821833674

This volume presents the proceedings of a workshop on Inverse Problems and Applications and a special session on Inverse Boundary Problems and Applications. Inverse problems arise in practical situations, such as medical imaging, exploration geophysics, and non-destructive evaluation where measurements made in the exterior of a body are used to deduce properties of the hidden interior. A large class of inverse problems arise from a physical situation modeled by partial differential equations. The inverse problem is to determine some coefficients of the equation given some

Authors:A. G. Yagola, I. V. Kochikov, G. M. Kuramshina, Yu. A
Publisher: Walter de Gruyter
Keywords: inverse, problems, posed, iii, vibrational, spectroscopy
Number of Pages: 297
Published: 1999-08
List price: $356.00
ISBN-10: 9067643041
ISBN-13: 9789067643047

This volume aims to provide a consistent mathematical and physical treatment of empirical data processing in vibrational spectroscopy, based on the modern theory of nonlinear ill-posed problems. The authors offer a clear description of the foundation of the theory and also look at its applications. The straightforward mathematical formulation of model constraints as well as the use of experimental data form the main issues in the book. Ab initio methods are briefly discussed, since these are likely to provide a good starting point for subsequent empirical data fitting. The data processing meth

Authors:A. Asanov, E. R. Atamanov,
Publisher: Walter de Gruyter
Keywords: problems, inverse, amp, posed, ser, iii, pseudoparabolic, nonclassical, equations
Number of Pages: 152
Published: 1997-06
List price: $175.00
ISBN-10: 9067642355
ISBN-13: 9789067642354

This volume considers problems related to the theory of differential equations with partial derivatives from the ill-posed problem theory, and are generally ill-posed in the Hadamard sense. The basic topic discosed is the conditional well-posedness of such problems. This represents the proof of uniqueness and stability theorems in the appropriate classes of functions. In some cases, existence theorems are also considered. The book opens with a chapter on the Cauchy problem, with data in a time-like manifold for pseudoparabolic equations. Chapter two deals with interior problems for pseudoparab