Integral Geometry And Inverse Problems For Hyperbolic Equations
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Integral Geometry And Inverse Problems For Hyperbolic Equations
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Author : V. G. Romanov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-09
Integral Geometry And Inverse Problems For Hyperbolic Equations written by V. G. Romanov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-09 with Mathematics categories.
There are currently many practical situations in which one wishes to determine the coefficients in an ordinary or partial differential equation from known functionals of its solution. These are often called "inverse problems of mathematical physics" and may be contrasted with problems in which an equation is given and one looks for its solution under initial and boundary conditions. Although inverse problems are often ill-posed in the classical sense, their practical importance is such that they may be considered among the pressing problems of current mathematical re search. A. N. Tihonov showed [82], [83] that there is a broad class of inverse problems for which a particular non-classical definition of well-posed ness is appropriate. This new definition requires that a solution be unique in a class of solutions belonging to a given subset M of a function space. The existence of a solution in this set is assumed a priori for some set of data. The classical requirement of continuous dependence of the solution on the data is retained but it is interpreted differently. It is required that solutions depend continuously only on that data which does not take the solutions out of M.
Integral Geometry And Inverse Problems For Hyperbolic Equations
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Author : Vladimir Gavrilovich Romanov
language : en
Publisher: Springer
Release Date : 1974
Integral Geometry And Inverse Problems For Hyperbolic Equations written by Vladimir Gavrilovich Romanov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Differential equations, Hyperbolic categories.
Integral Geometry And Inverse Problems For Hyperbolic Equations
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Author : V. G Romanov
language : en
Publisher:
Release Date : 1974-07-23
Integral Geometry And Inverse Problems For Hyperbolic Equations written by V. G Romanov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-07-23 with categories.
Integral Geometry And Convolution Equations
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Author : V.V. Volchkov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Integral Geometry And Convolution Equations written by V.V. Volchkov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Integral geometry deals with the problem of determining functions by their integrals over given families of sets. These integrals de?ne the corresponding integraltransformandoneofthemainquestionsinintegralgeometryaskswhen this transform is injective. On the other hand, when we work with complex measures or forms, operators appear whose kernels are non-trivial but which describe important classes of functions. Most of the questions arising here relate, in one way or another, to the convolution equations. Some of the well known publications in this ?eld include the works by J. Radon, F. John, J. Delsarte, L. Zalcman, C. A. Berenstein, M. L. Agranovsky and recent monographs by L. H ̈ ormander and S. Helgason. Until recently research in this area was carried out mostly using the technique of the Fourier transform and corresponding methods of complex analysis. In recent years the present author has worked out an essentially di?erent methodology based on the description of various function spaces in terms of - pansions in special functions, which has enabled him to establish best possible results in several well known problems.
One Dimensional Inverse Problems Of Mathematical Physics
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Author : Mikhail Mikhaĭlovich Lavrentʹev
language : en
Publisher: American Mathematical Soc.
Release Date : 1986
One Dimensional Inverse Problems Of Mathematical Physics written by Mikhail Mikhaĭlovich Lavrentʹev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
A monograph that deals with the inverse problems of determining a variable coefficient and right side for hyperbolic and parabolic equations on the basis of known solutions at fixed points of space for all times.
Integral Geometry And Geometric Probability
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Author : Luis A. Santaló
language : en
Publisher: Cambridge University Press
Release Date : 2004-10-28
Integral Geometry And Geometric Probability written by Luis A. Santaló and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-28 with Mathematics categories.
Classic text on integral geometry now available in paperback in the Cambridge Mathematical Library.
Integral Geometry And Inverse Problems For Kinetic Equations
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Author : Anvar Kh. Amirov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-07-24
Integral Geometry And Inverse Problems For Kinetic Equations written by Anvar Kh. Amirov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-24 with Mathematics categories.
In this monograph a method for proving the solvability of integral geometry problems and inverse problems for kinetic equations is presented. The application of this method has led to interesting problems of the Dirichlet type for third order differential equations, the solvability of which appears to depend on the geometry of the domain for which the problem is stated. Another considered subject is the problem of integral geometry on paraboloids, in particular the uniqueness of solutions to the Goursat problem for a differential inequality, which implies new theorems on the uniqueness of solutions to this problem for a class of quasilinear hyperbolic equations. A class of multidimensional inverse problems associated with problems of integral geometry and the inverse problem for the quantum kinetic equations are also included.
Integral Geometry And Tomography
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Author : Eric Grinberg
language : en
Publisher: American Mathematical Soc.
Release Date : 1990
Integral Geometry And Tomography written by Eric Grinberg and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Contains the proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Integral Geometry and Tomography, held in June 1989 at Humboldt State University in Arcata, California. This book features articles that range over such diverse areas as combinatorics, geometric inequalities, micro-local analysis, group theory, and harmonic analysis.
Integral Geometry And Inverse Problems For Hyperbolic Equations Nekotorye Obratnye Zada I Dlja Uravnenij Giperboli Eskogo Tipa Engl
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Author : Vladimir G. Romanov
language : en
Publisher:
Release Date : 1974
Integral Geometry And Inverse Problems For Hyperbolic Equations Nekotorye Obratnye Zada I Dlja Uravnenij Giperboli Eskogo Tipa Engl written by Vladimir G. Romanov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.
Inverse Problems In Differential Equations
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Author : G. Anger
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 1990-12-31
Inverse Problems In Differential Equations written by G. Anger and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-12-31 with Mathematics categories.
No detailed description available for "Inverse Problems in Differential Equations".