Author: Durdimurod K. Durdiev
Publisher: Springer Nature
ISBN: 9819922607
Category : Mathematics
Languages : en
Pages : 390
Book Description
This book studies the construction methods for solving one-dimensional and multidimensional inverse dynamical problems for hyperbolic equations with memory. The theorems of uniqueness, stability and existence of solutions of these inverse problems are obtained. This book discusses the processes, by using generalized solutions, the spread of elastic or electromagnetic waves arising from sources of the type of pulsed directional “impacts” or “explosions”. This book presents new results in the study of local and global solvability of kernel determination problems for a half-space. It describes the problems of reconstructing the coefficients of differential equations and the convolution kernel of hyperbolic integro-differential equations by the method of Dirichlet-to-Neumann. The book will be useful for researchers and students specializing in the field of inverse problems of mathematical physics.
Kernel Determination Problems in Hyperbolic Integro-Differential Equations
Author: Durdimurod K. Durdiev
Publisher: Springer Nature
ISBN: 9819922607
Category : Mathematics
Languages : en
Pages : 390
Book Description
This book studies the construction methods for solving one-dimensional and multidimensional inverse dynamical problems for hyperbolic equations with memory. The theorems of uniqueness, stability and existence of solutions of these inverse problems are obtained. This book discusses the processes, by using generalized solutions, the spread of elastic or electromagnetic waves arising from sources of the type of pulsed directional “impacts” or “explosions”. This book presents new results in the study of local and global solvability of kernel determination problems for a half-space. It describes the problems of reconstructing the coefficients of differential equations and the convolution kernel of hyperbolic integro-differential equations by the method of Dirichlet-to-Neumann. The book will be useful for researchers and students specializing in the field of inverse problems of mathematical physics.
Publisher: Springer Nature
ISBN: 9819922607
Category : Mathematics
Languages : en
Pages : 390
Book Description
This book studies the construction methods for solving one-dimensional and multidimensional inverse dynamical problems for hyperbolic equations with memory. The theorems of uniqueness, stability and existence of solutions of these inverse problems are obtained. This book discusses the processes, by using generalized solutions, the spread of elastic or electromagnetic waves arising from sources of the type of pulsed directional “impacts” or “explosions”. This book presents new results in the study of local and global solvability of kernel determination problems for a half-space. It describes the problems of reconstructing the coefficients of differential equations and the convolution kernel of hyperbolic integro-differential equations by the method of Dirichlet-to-Neumann. The book will be useful for researchers and students specializing in the field of inverse problems of mathematical physics.
Identification Problems of Wave Phenomena
Author: A. Lorenzi
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110943298
Category : Mathematics
Languages : en
Pages : 352
Book Description
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.
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110943298
Category : Mathematics
Languages : en
Pages : 352
Book Description
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.
Proceedings of the Estonian Academy of Sciences, Physics and Mathematics
Inverse Problems and Related Topics
Author: Gen Nakamura
Publisher: CRC Press
ISBN: 0429530323
Category : Mathematics
Languages : en
Pages : 268
Book Description
Inverse problems arise in many disciplines and hold great importance to practical applications. However, sound new methods are needed to solve these problems. Over the past few years, Japanese and Korean mathematicians have obtained a number of very interesting and unique results in inverse problems. Inverse Problems and Related Topics compi
Publisher: CRC Press
ISBN: 0429530323
Category : Mathematics
Languages : en
Pages : 268
Book Description
Inverse problems arise in many disciplines and hold great importance to practical applications. However, sound new methods are needed to solve these problems. Over the past few years, Japanese and Korean mathematicians have obtained a number of very interesting and unique results in inverse problems. Inverse Problems and Related Topics compi
Integral Geometry and Inverse Problems for Hyperbolic Equations
Author: V. G. Romanov
Publisher: Springer Science & Business Media
ISBN: 364280781X
Category : Mathematics
Languages : en
Pages : 160
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 364280781X
Category : Mathematics
Languages : en
Pages : 160
Book Description
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.
Journal of analysis and its application
Author:
Publisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 584
Book Description
Publisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 584
Book Description
Volterra Equations and Inverse Problems
Author: A. L. Bughgeim
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110943247
Category : Mathematics
Languages : en
Pages : 216
Book Description
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.
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110943247
Category : Mathematics
Languages : en
Pages : 216
Book Description
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.
Eesti Teaduste Akadeemia Toimetised
Author:
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 468
Book Description
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 468
Book Description
Proceedings of the Estonian Academy of Sciences, Physics and Mathematics
Volterra Integral Equations
Author: Hermann Brunner
Publisher: Cambridge University Press
ISBN: 1107098726
Category : Mathematics
Languages : en
Pages : 405
Book Description
See publisher description :
Publisher: Cambridge University Press
ISBN: 1107098726
Category : Mathematics
Languages : en
Pages : 405
Book Description
See publisher description :