Investigation Methods for Inverse Problems
1st Edition
Published on 31. July 2002
Book
Hardback
289 pages
978-90-6764-361-0 (ISBN)
Description
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.
Reviews / Votes
'The author is an outstanding mathematician from the Novosibirsk School and is an expert in the theory of both direct and inverse problems concerning hyperbolic differential equations as well as an expert in integral geometry. A fundamental feature in his research works consists, when dealing with linear hyperbolic equations involving distributional right-hand sides, of a skillful representation of the solution into a singular part and a regular one in the neighbourhood of the characteristic cone. In such a way the author can reduce, and solve via classical methods, inverse distributional problems to classical ones for the regular part of the solution. ...' Alfredo Lorenzi (Milano), Zentralblatt MATH 1038, 2004More details
Series
Language
English
Place of publication
Zeist
Netherlands
Publishing group
Brill
Target group
College/higher education
Professional and scholarly
US School Grade: College Graduate Student
Weight
595 gr
ISBN-13
978-90-6764-361-0 (9789067643610)
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Schweitzer Classification
Other editions
Additional editions
Vladimir G. Romanov
Investigation Methods for Inverse Problems
Book
02/2015
1st Edition
De Gruyter
€359.00
Withdrawn from sale
Vladimir G. Romanov
Investigation Methods for Inverse Problems
E-Book
10/2014
1st Edition
De Gruyter
€239.00
Available for download
Vladimir G. Romanov
Investigation Methods for Inverse Problems
Book
07/2002
1st Edition
De Gruyter
€260.00
Shipment within 7-9 days
Person
Vladimir G. Romanov, Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk, Russia.
Content
One-dimensional inverse kinematics problem; inverse dynamical problem for a string; inverse problems for a layered medium; ray statements of inverse problems; posing of the inverse problems; asymptotic expansion; uniqueness theorems for the inverse problem; inverse problems related to a local heterogeneity; local solvability of some inverse problems; banach's spaces of analytic functions; determining coefficients of the lower terms; determining the speed of the sound; a regularization method for solving an inverse problem; inverse problems with single measurements; determining coefficient of the lowest term; determining coefficients under first derivatives; determining the speed of sound in the wave equation; case of a point source; stability estimates related to inverse problems for the transport equation; the problem of determining the relaxation and a density of inner sources; a stability estimate in the problem of determining the dispersion index and relaxation in 2D; the problem of determining the dispersion index and relaxation in 3D.