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Integral geometry and inverse problems for kinetic equations

Author: A Kh Amirov
Publisher: Utrecht ; Boston : VSP, 2001.
Series: Inverse and ill-posed problems series.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

In this monograph a method for proving the solvability of integral geometry problems and inverse problems for kinetic equations is presented. The problem of integral geometry on paraboloids is  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: A Kh Amirov
ISBN: 9067643521 9789067643528
OCLC Number: 51216218
Description: vi, 201 pages ; 25 cm.
Contents: Solvability of problems of integral geometry; two-dimensional inverse problem for the transport equation; three-dimensional inverse problem for the transport equation; solvability of the problem of integral geometry along geodesics; a planar problem of integral geometry; certain problems of tomography; inverse problems for kinetic equations; the problem of integral geometry and an inverse problem for the kinetic equation; linear kinetic equation; a modification of problem 2.2.1; one-dimensional kinetic equation; equations of the Boltzmann type; the Vlasov system; some inverse and direct problems for the kinetic equation; evolutionary equations; the Cauchy problem for an integro-differential equation; the problems (3.1.1) - (3.1.2) for m = 2k + 1, p = 1 (the case of nonperiodic solutions); boundary value problems; the Cauchy problem for an evolutionary equation; inverse problem for an evolutionary equation; inverse problems for second order differential equations; quantum kinetic equation; ultrahyperbolic equation; on a class of multidimensional inverse problems; inverse problems with concentrated data.
Series Title: Inverse and ill-posed problems series.
Responsibility: A. Kh. Amirov.
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