Contents

Kapitel in diesem Buch

1. Frontmatter I
2. Contents V
3. Introduction IX
4. Chapter 1. Statements of the direct and inverse problems. Examples 1
5. Chapter 2. Volterra operator equations 35
6. Chapter 3. Inverse problems for Maxwell's equations 47
7. Chapter 4. Linearization and Newton - Kantorovich method 67
8. Chapter 5. The Gel'fand - Levitan Method 87
9. Chapter 6. Regularization 127
10. Chapter 7. The method of the optimal control 137
11. Chapter 8. Inversion of finite-difference schemes 159
12. Chapter 9. Strongly ill-posed problems 171
13. Chapter 10. Identification problems related to first-order scalar semilinear equations 195
14. Chapter 11. An identification problem for a first-order integro-differential equation 203
15. Chapter 12. An inverse hyperbolic integro-differential problem arising in Geophysics 217
16. Chapter 13. Integro-differential identification problems related to the one-dimensional wave equation 237
17. Chapter 14. Lavrent'ev regularization of solutions to linear integro-differential inverse problems 265
18. Chapter 15. A stability result for the identification of a nonlinear term in a semilinear hyperbolic integro-differential equation 295
19. Chapter 16. Inverse problems in Electromagnetoelasticity 309
20. Bibliography 321