Introduction to Inverse Problems for Differential Equations

Introduction to Inverse Problems for Differential Equations

Hasanov Hasanoglu, Alemdar; Romanov, Vladimir G.

Springer Nature Switzerland AG

08/2022

515

Mole

Inglês

9783030794293

15 a 20 dias

813

Descrição não disponível.
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.
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inverse problems;inverse coefficient problems;source problems;gradient methods;ill-posed problems