Introduction to Inverse Problems for Differential Equations
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 PD...
Κύριοι συγγραφείς: | , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2017.
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.