Introduction to Inverse Problems for Differential Equations

AvAlemdar Hasanov Hasanoğlu,Vladimir G. Romanov

Inbunden, Engelska, 2021

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2021-08-03
Mått:155 x 235 x 35 mm
Vikt:963 g
Format:Inbunden
Språk:Engelska
Antal sidor:515
Upplaga:2
Förlag:Springer Nature Switzerland AG
ISBN:9783030794262

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Innehållsförteckning

Introduction: Ill-Posedness of Inverse Problems for Differential and Integral Equations.- PART I. INTRODUCTION TO INVERSE PROBLEMS: 1. Functional Analysis Background of Ill-Posed Problems.- 2. Inverse Source Problems With Final Overdetermination.- PART II. INVERSE PROBLEMS FOR DIFFERENTIAL EQUATIONS: 3. Inverse Problems for Hyperbolic Equations.- 4. One-dimensional 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 One-dimensional Parabolic Equation.- Bibliography.- Index.