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Author : Victor Isakov
Publisher :
ISBN 13 :
Total Pages : 98 pages
Book Rating : 4.E/5 ( download)
Download or read book Inverse Parabolic Problems with the Final Overdetermination written by Victor Isakov and published by . This book was released on 1988 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Victor Isakov
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.E/5 ( download)
Download or read book Uniqueness for Inverse Parabolic Problems with a Lateral Overdetermination written by Victor Isakov and published by . This book was released on 1988 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yurii Ya. Belov
Publisher : Walter de Gruyter
ISBN 13 : 3110944634
Total Pages : 220 pages
Book Rating : 4.1/5 (19 download)
Download or read book Inverse Problems for Partial Differential Equations written by Yurii Ya. Belov and published by Walter de Gruyter. This book was released on 2012-02-14 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Vitaly Kamynin
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (374 download)
Download or read book An Inverse Problem for Higher Order Parabolic Equation with Integral Overdetermination written by Vitaly Kamynin and published by . This book was released on 1996 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alemdar Hasanov Hasanoğlu
Publisher : Springer Nature
ISBN 13 : 303079427X
Total Pages : 521 pages
Book Rating : 4.0/5 (37 download)
Download or read book Introduction to Inverse Problems for Differential Equations written by Alemdar Hasanov Hasanoğlu and published by Springer Nature. This book was released on 2021-08-02 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic exposition of the main ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though it makes no claim to being exhaustive. Mathematical models of most physical phenomena are governed by initial and boundary value problems for PDEs, and inverse problems governed by these equations arise naturally in nearly all branches of science and engineering. The book’s content, especially in the Introduction and Part I, is self-contained and is intended to also be accessible for beginning graduate students, whose mathematical background includes only basic courses in advanced calculus, PDEs and functional analysis. Further, the book can be used as the backbone for a lecture course on inverse and ill-posed problems for partial differential equations. In turn, the second part of the book consists of six nearly-independent chapters. The choice of these chapters was motivated by the fact that the inverse coefficient and source problems considered here are based on the basic and commonly used mathematical models governed by PDEs. These chapters describe not only these inverse problems, but also main inversion methods and techniques. Since the most distinctive features of any inverse problems related to PDEs are hidden in the properties of the corresponding solutions to direct problems, special attention is paid to the investigation of these properties. For the second edition, the authors have added two new chapters focusing on real-world applications of inverse problems arising in wave and vibration phenomena. They have also revised the whole text of the first edition.
Author : Alemdar Hasanov Hasanoğlu
Publisher : Springer
ISBN 13 : 331962797X
Total Pages : 264 pages
Book Rating : 4.3/5 (196 download)
Download or read book Introduction to Inverse Problems for Differential Equations written by Alemdar Hasanov Hasanoğlu and published by Springer. This book was released on 2017-07-31 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic exposition of the main ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though it makes no claim to being exhaustive. Mathematical models of most physical phenomena are governed by initial and boundary value problems for PDEs, and inverse problems governed by these equations arise naturally in nearly all branches of science and engineering. The book’s content, especially in the Introduction and Part I, is self-contained and is intended to also be accessible for beginning graduate students, whose mathematical background includes only basic courses in advanced calculus, PDEs and functional analysis. Further, the book can be used as the backbone for a lecture course on inverse and ill-posed problems for partial differential equations. In turn, the second part of the book consists of six nearly-independent chapters. The choice of these chapters was motivated by the fact that the inverse coefficient and source problems considered here are based on the basic and commonly used mathematical models governed by PDEs. These chapters describe not only these inverse problems, but also main inversion methods and techniques. Since the most distinctive features of any inverse problems related to PDEs are hidden in the properties of the corresponding solutions to direct problems, special attention is paid to the investigation of these properties.
Author : Global Express Ltd. Co.
Publisher : CRC Press
ISBN 13 : 148229298X
Total Pages : 732 pages
Book Rating : 4.4/5 (822 download)
Download or read book Methods for Solving Inverse Problems in Mathematical Physics written by Global Express Ltd. Co. and published by CRC Press. This book was released on 2000-03-21 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developing an approach to the question of existence, uniqueness and stability of solutions, this work presents a systematic elaboration of the theory of inverse problems for all principal types of partial differential equations. It covers up-to-date methods of linear and nonlinear analysis, the theory of differential equations in Banach spaces, app
Author : Victor Isakov
Publisher : American Mathematical Soc.
ISBN 13 : 0821815326
Total Pages : 209 pages
Book Rating : 4.8/5 (218 download)
Download or read book Inverse Source Problems written by Victor Isakov and published by American Mathematical Soc.. This book was released on 1990 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: A careful exposition of a research field of current interest. This includes a brief survey of the subject and an introduction to recent developments and unsolved problems.
Author : A. Asanov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110900149
Total Pages : 156 pages
Book Rating : 4.1/5 (19 download)
Download or read book Nonclassical and Inverse Problems for Pseudoparabolic Equations written by A. Asanov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-07-24 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : P. G. Danilaev
Publisher : VSP
ISBN 13 : 9789067643481
Total Pages : 136 pages
Book Rating : 4.6/5 (434 download)
Download or read book Coefficient Inverse Problems for Parabolic Type Equations and Their Application written by P. G. Danilaev and published by VSP. This book was released on 2001-01-01 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a rule, many practical problems are studied in a situation when the input data are incomplete. For example, this is the case for a parabolic partial differential equation describing the non-stationary physical process of heat and mass transfer if it contains the unknown thermal conductivity coefficient. Such situations arising in physical problems motivated the appearance of the present work. In this monographthe author considers numerical solutions of the quasi-inversion problems, to which the solution of the original coefficient inverse problems are reduced. Underground fluid dynamics is taken as a field of practical use of coefficient inverse problems. The significance of these problems for this application domain consists in the possibility to determine the physical fields of parameters that characterize the filtration properties of porous media (oil strata). This provides the possibility of predicting the conditions of oil-field development and the effects of the exploitation. The research carried out by the author showed that the quasi-inversion method can be applied also for solution of "interior coefficient inverse problems" by reducing them to the problem of continuation of a solution to a parabolic equation. This reduction is based on the results of the proofs of the uniqueness theorems for solutions of the corresponding coefficient inverse problems.
Author : IU. IUrii Evgenevich Anikonov
Publisher : VSP
ISBN 13 : 9789067642163
Total Pages : 220 pages
Book Rating : 4.6/5 (421 download)
Download or read book Formulas in Inverse and Ill-Posed Problems written by IU. IUrii Evgenevich Anikonov and published by VSP. This book was released on 1997-01-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Vladimir G. Romanov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110942011
Total Pages : 484 pages
Book Rating : 4.1/5 (19 download)
Download or read book Ill-Posed and Inverse Problems written by Vladimir G. Romanov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-11-05 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: M.M. Lavrentiev is the author of many fundamental scientific results in many directions of mathematics and its applications, such as differential equations, inverse and ill-posed problems, tomography, numerical and applied mathematics. His results in the theory of inverse problems for differential equations and in tomography are well known all over the world. To honour him on the occasion of his 70th birthday renowned scientists in this field of mathematics, both from East and West, have contributed to this special collection of papers on ill-posed and inverse problems, which will be of interest to anyone working in this field.
Author : David L. Colton
Publisher : SIAM
ISBN 13 : 9780898712520
Total Pages : 234 pages
Book Rating : 4.7/5 (125 download)
Download or read book Inverse Problems in Partial Differential Equations written by David L. Colton and published by SIAM. This book was released on 1990-01-01 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Heinz W. Engl
Publisher : SIAM
ISBN 13 : 9780898713510
Total Pages : 250 pages
Book Rating : 4.7/5 (135 download)
Download or read book Inverse Problems in Diffusion Processes written by Heinz W. Engl and published by SIAM. This book was released on 1995-01-01 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of expository papers encompasses both the theoretical and physical application side of inverse problems in diffusion processes.
Author : C Bandle
Publisher : CRC Press
ISBN 13 : 1000115275
Total Pages : 272 pages
Book Rating : 4.0/5 (1 download)
Download or read book Elliptic and Parabolic Problems written by C Bandle and published by CRC Press. This book was released on 2020-11-26 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Research Note presents some recent advances in various important domains of partial differential equations and applied mathematics including equations and systems of elliptic and parabolic type and various applications in physics, mechanics and engineering. These topics are now part of various areas of science and have experienced tremendous development during the last decades. -------------------------------------
Author : Andrei N. Tikhonov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112313933
Total Pages : 608 pages
Book Rating : 4.1/5 (123 download)
Download or read book Ill-Posed Problems in Natural Sciences written by Andrei N. Tikhonov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Ill-Posed Problems in Natural Sciences".
Author : Victor Isakov
Publisher : Springer Science & Business Media
ISBN 13 : 1489900306
Total Pages : 296 pages
Book Rating : 4.4/5 (899 download)
Download or read book Inverse Problems for Partial Differential Equations written by Victor Isakov and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
