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 : 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 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 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.
Inverse Problems Of Mathematical Physics
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Author : V. G. Romanov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-11-05
Inverse Problems Of Mathematical Physics written by V. G. Romanov 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 2018-11-05 with Mathematics categories.
No detailed description available for "Inverse Problems of Mathematical Physics".
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 For Partial Differential Equations
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Author : Victor Isakov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Inverse Problems For Partial Differential Equations written by Victor Isakov 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 2013-06-29 with Mathematics categories.
A comprehensive description of the current theoretical and numerical aspects of inverse problems in partial differential equations. Applications include recovery of inclusions from anomalies of their gravity fields, reconstruction of the interior of the human body from exterior electrical, ultrasonic, and magnetic measurement. By presenting the data in a readable and informative manner, the book introduces both scientific and engineering researchers as well as graduate students to the significant work done in this area in recent years, relating it to broader themes in mathematical analysis.
Inverse Problems Of Mathematical Physics
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Author : Mikhail M. Lavrent'ev
language : en
Publisher: Walter de Gruyter
Release Date : 2012-05-07
Inverse Problems Of Mathematical Physics written by Mikhail M. Lavrent'ev and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-07 with Mathematics categories.
This monograph deals with the theory of inverse problems of mathematical physics and applications of such problems. Besides it considers applications and numerical methods of solving the problems under study. Descriptions of particular numerical experiments are also included.
Inverse Problems
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Author : Alexander G. Ramm
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-19
Inverse Problems written by Alexander G. Ramm 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 2005-12-19 with Technology & Engineering categories.
Inverse Problems is a monograph which contains a self-contained presentation of the theory of several major inverse problems and the closely related results from the theory of ill-posed problems. The book is aimed at a large audience which include graduate students and researchers in mathematical, physical, and engineering sciences and in the area of numerical analysis.
Investigation Methods For Inverse Problems
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Author : Vladimir G. Romanov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-10-10
Investigation Methods For Inverse Problems written by Vladimir G. Romanov 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 2014-10-10 with Mathematics categories.
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.