Integral Geometry And Inverse Problems For Kinetic Equations

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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 For Kinetic And Other Evolution Equations

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Author : Yu. E. Anikonov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-07-24

Inverse Problems For Kinetic And Other Evolution Equations written by Yu. E. Anikonov 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.

This monograph deals with methods of studying multidimensional inverse problems for kinetic and other evolution equations, in particular transfer equations. The methods used are applied to concrete inverse problems, especially multidimensional inverse problems applicable in linear and nonlinear statements. A significant part of the book contains formulas and relations for solving inverse problems, including formulas for the solution and coefficients of kinetic equations, differential-difference equations, nonlinear evolution equations, and second order equations.

Inverse Problems For Kinetic And Other Evolution Equations

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Author : I︠U︡riĭ Evgenʹevich Anikonov
language : en
Publisher: VSP
Release Date : 2001

Inverse Problems For Kinetic And Other Evolution Equations written by I︠U︡riĭ Evgenʹevich Anikonov and has been published by VSP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

This monograph in the "Inverse and Ill-Posed Problems Series deals with methods of studying multidimensional inverse problems for kinetic and other evolution equations, in particular transfer equations. The methods used are applied to concrete inverse problems, especially multidimensional inverse problems applicable in linear and nonlinear statements.A significant part of the book contains formulas and relations for solving inverse problems, including formulas for the solution and coefficients of kinetic equations, differential-difference equations, nonlinear evolution equations, and second order equations.This monograph will be of value and interest to mathematicians, engineers and other specialists dealing with inverse and ill posed problems.

Inverse Problems Of Mathematical Physics

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Author : Vladimir Gavrilovich Romanov
language : en
Publisher: BRILL
Release Date : 1987

Inverse Problems Of Mathematical Physics written by Vladimir Gavrilovich Romanov and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.

Inverse Problems Of Mathematical Physics

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Author :
language : en
Publisher: VSP
Release Date : 2003

Inverse Problems Of Mathematical Physics written by and has been published by VSP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

Thismonograph deals with the theory of inverse problems of mathematical physics andapplications of such problems. Besides it considers applications and numerical methods of solving the problems under study. Descriptions of particular numerical experiments are also included.

Multidimensional Inverse And Ill Posed Problems For Differential Equations

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Author : Yu. E. Anikonov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-07-24

Multidimensional Inverse And Ill Posed Problems For Differential Equations written by Yu. E. Anikonov 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.

Inverse problems are usually nonlinear and are separated into one-dimensional and multidimensional problems, depending on whether the sought function (or functions) is a function of one variable or of many. Multidimensionality of inverse problems has particular value at present, because practice shows that many investigating processes are described by an equation, of which the co-efficient essentially depends on many variables. This monograph is devoted to statements of multidimensional inverse problems, in particular to methods of their investigation. Questions of the uniqueness of solution, solvability and stability are studied. Methods to construct a solution are given and, in certain cases, inversion formulas are given as well. Concrete applications of the theory developed here are also given. Where possible, the author has stopped to consider the method of investigation of the problems, thereby sometimes losing generality and quantity of the problems, which can be examined by such a method. The book should be of interet to researchers in the field of applied mathematics, geophysics and mathematical biology.

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.

Multidimensional Inverse And Ill Posed Problems For Differential Equations

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Author : I︠U︡riĭ Evgenʹevich Anikonov
language : en
Publisher: VSP
Release Date : 1995

Multidimensional Inverse And Ill Posed Problems For Differential Equations written by I︠U︡riĭ Evgenʹevich Anikonov and has been published by VSP this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Architecture categories.

This monograph is devoted to statements of multidimensional inverse problems, in particular to methods of their investigation. Questions of the uniqueness of solution, solvability and stability are studied. Methods to construct a solution are given and, in certain cases, inversion formulas are given as well. Concrete applications of the theory developed here are also given. Where possible, the author has stopped to consider the method of investigation of the problems, thereby sometimes losing generality and quantity of the problems, which can be examined by such a method. The book should be of interet to researchers in the field of applied mathematics, geophysics and mathematical biology.

Integral Geometry Of Tensor Fields

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Author : V. A. Sharafutdinov
language : en
Publisher: Walter de Gruyter
Release Date : 2012-01-02

Integral Geometry Of Tensor Fields written by V. A. Sharafutdinov 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 2012-01-02 with Mathematics categories.

The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.

Inverse Problems For Partial Differential Equations

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Author : Yurii Ya. Belov
language : en
Publisher: Walter de Gruyter
Release Date : 2012-02-14

Inverse Problems For Partial Differential Equations written by Yurii Ya. Belov 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 2012-02-14 with Mathematics categories.

This monograph is devoted to identification problems of coefficients in equations of mathematical physics. It invesitgates the existence and uniqueness of the solutions for identification coefficient problems in parabolic and hyperbolic equations and equation systems of composite type. The problems are studied with the Cauchy data and equations in which the Fourier transform with respect to the chosen variable is supposed to occur. Differential properties of the solutions for the original direct problems and their behavior under great values of time are studied on the basis of solution properties for direct problems. The identification problems with one or two unknown coefficients are also investigated. For initial boundary value conditions linear and nonlinear parabolic equations are studied.