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Author: Durdimurod K. Durdiev
Publisher: Springer Nature
ISBN: 9819922607
Category : Mathematics
Languages : en
Pages : 390
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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.
Author: Durdimurod K. Durdiev
Publisher: Springer Nature
ISBN: 9819922607
Category : Mathematics
Languages : en
Pages : 390
Get Book
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.
Author: A. Lorenzi
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110943298
Category : Mathematics
Languages : en
Pages : 352
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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.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 72
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Book Description
Author: Gen Nakamura
Publisher: CRC Press
ISBN: 0429530323
Category : Mathematics
Languages : en
Pages : 268
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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
Author: V. G. Romanov
Publisher: Springer Science & Business Media
ISBN: 364280781X
Category : Mathematics
Languages : en
Pages : 160
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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.
Author:
Publisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 584
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Book Description
Author: A. L. Bughgeim
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110943247
Category : Mathematics
Languages : en
Pages : 216
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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.
Author:
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 468
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Book Description
Author:
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ISBN:
Category :
Languages : en
Pages : 72
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Book Description
Author: Hermann Brunner
Publisher: Cambridge University Press
ISBN: 1107098726
Category : Mathematics
Languages : en
Pages : 405
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Book Description
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