The Resource Introduction to Inverse Problems for Differential Equations, by Alemdar Hasanov Hasanoğlu, Vladimir G. Romanov, (electronic resource)
Introduction to Inverse Problems for Differential Equations, by Alemdar Hasanov Hasanoğlu, Vladimir G. Romanov, (electronic resource)
Resource Information
The item Introduction to Inverse Problems for Differential Equations, by Alemdar Hasanov Hasanoğlu, Vladimir G. Romanov, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Introduction to Inverse Problems for Differential Equations, by Alemdar Hasanov Hasanoğlu, Vladimir G. Romanov, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 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 selfcontained 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 illposed problems for partial differential equations. In turn, the second part of the book consists of six nearlyindependent 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.
 Language
 eng
 Extent
 1 online resource (XIII, 261 pages)
 Contents

 Introduction: IllPosedness of Inverse Problems for Differential and Integral Equations
 PART I. INTRODUCTION TO INVERSE PROBLEMS: 1. Functional Analysis Background of IllPosed Problems
 2. Inverse Source Problems With Final Overdetermination
 PART II. INVERSE PROBLEMS FOR DIFFERENTIAL EQUATIONS: 3. Inverse Problems for Hyperbolic Equations
 4. Onedimensional Inverse Problems for Electrodynamics Equations
 5. Inverse Problems for Parabolic Equations
 6. Inverse Problems for Elliptic Equations
 7. Inverse Problems for the Stationary Transport Equations
 8. The Inverse Kinematic Problem
 Appendix A: Invertibility of Linear Operators
 Appendix B: Some Estimates For Onedimensional Parabolic Equation
 Bibliography
 Index
 Isbn
 9783319627977
 Label
 Introduction to Inverse Problems for Differential Equations
 Title
 Introduction to Inverse Problems for Differential Equations
 Statement of responsibility
 by Alemdar Hasanov Hasanoğlu, Vladimir G. Romanov
 Language
 eng
 Summary
 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 selfcontained 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 illposed problems for partial differential equations. In turn, the second part of the book consists of six nearlyindependent 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.
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorName
 Hasanov Hasanoğlu, Alemdar
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Romanov, Vladimir G.
 Series statement
 Springer eBooks
 http://library.link/vocab/subjectName

 Mathematics
 Computer science
 Partial differential equations
 Computer mathematics
 Numerical analysis
 Physics
 Label
 Introduction to Inverse Problems for Differential Equations, by Alemdar Hasanov Hasanoğlu, Vladimir G. Romanov, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction: IllPosedness of Inverse Problems for Differential and Integral Equations  PART I. INTRODUCTION TO INVERSE PROBLEMS: 1. Functional Analysis Background of IllPosed Problems  2. Inverse Source Problems With Final Overdetermination  PART II. INVERSE PROBLEMS FOR DIFFERENTIAL EQUATIONS: 3. Inverse Problems for Hyperbolic Equations  4. Onedimensional Inverse Problems for Electrodynamics Equations  5. Inverse Problems for Parabolic Equations  6. Inverse Problems for Elliptic Equations  7. Inverse Problems for the Stationary Transport Equations  8. The Inverse Kinematic Problem  Appendix A: Invertibility of Linear Operators  Appendix B: Some Estimates For Onedimensional Parabolic Equation  Bibliography  Index
 Control code
 9783319627977
 Dimensions
 unknown
 Extent
 1 online resource (XIII, 261 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319627977
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319627977
 Other physical details
 4 illustrations
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)999407647
 Label
 Introduction to Inverse Problems for Differential Equations, by Alemdar Hasanov Hasanoğlu, Vladimir G. Romanov, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction: IllPosedness of Inverse Problems for Differential and Integral Equations  PART I. INTRODUCTION TO INVERSE PROBLEMS: 1. Functional Analysis Background of IllPosed Problems  2. Inverse Source Problems With Final Overdetermination  PART II. INVERSE PROBLEMS FOR DIFFERENTIAL EQUATIONS: 3. Inverse Problems for Hyperbolic Equations  4. Onedimensional Inverse Problems for Electrodynamics Equations  5. Inverse Problems for Parabolic Equations  6. Inverse Problems for Elliptic Equations  7. Inverse Problems for the Stationary Transport Equations  8. The Inverse Kinematic Problem  Appendix A: Invertibility of Linear Operators  Appendix B: Some Estimates For Onedimensional Parabolic Equation  Bibliography  Index
 Control code
 9783319627977
 Dimensions
 unknown
 Extent
 1 online resource (XIII, 261 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319627977
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319627977
 Other physical details
 4 illustrations
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)999407647
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