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Two Methods In Inverse Problem And Extraction Formulae

  • Μ. Ikehata
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Ill-Posed and Inverse Problems
This chapter is in the book Ill-Posed and Inverse Problems
© 2018 Walter de Gruyter GmbH, Berlin/Munich/Boston

© 2018 Walter de Gruyter GmbH, Berlin/Munich/Boston

Chapters in this book

  1. Frontmatter I
  2. Preface V
  3. Contents XI
  4. Representations Of Functions Of Many Complex Variables And Inverse Problems For Kinetic Equations 1
  5. Uniqueness In Determining Piecewise Analytic Coefficients In Hyperbolic Equations 13
  6. Direct And Inverse Problems For Evolution Integro-Differential Equations Of The First-Order In Time 25
  7. How To See Waves Under The Earth Surface (The Bc-Method For Geophysicists) 67
  8. Global Theorem Of Uniqueness Of Solution To Inverse Coefficient Problem For A Quasilinear Hyperbolic Equation 85
  9. Identification Of Parameters In Polymer Crystallization, Semiconductor Models And Elasticity Via Iterative Regularization Methods H. W. Engl 99
  10. The Tomato Salad Problem In Spherical Stereology R. Gorenflo 127
  11. Two Methods In Inverse Problem And Extraction Formulae 145
  12. Identification Of The Unknown Potential In The Nonstationary Schrödinger Equation 179
  13. Iterative Methods Of Solving Inverse Problems For Hyperbolic Equations 201
  14. Carleman Estimates And Inverse Problems: Uniqueness And Convexification Of Multiextremal Objective Functions 219
  15. Convergence Analysis Of A Landweber—Kaczmarz Method For Solving Nonlinear Ill-Posed Problems 253
  16. A Sampling Method For An Inverse Boundary Value Problem For Harmonic Vector Fields 271
  17. Approaching A Partial Differential Equation Of Mixed Elliptic-Hyperbolic Type 291
  18. Complex Geometrical Optics Solutions And Pseudoanalytic Matrices 305
  19. Numerical Solution Of Inverse Evolution Problems Via The Nonlinear Levitan Equation 339
  20. An Inverse Problem For A Parabolic Equation With Final Overdetermination 345
  21. Uniqueness Theorems For An Inverse Problem Related To Local Heterogeneities And Data On A Piece Of A Plane 383
  22. On Ill-Posed Problems And Professor Lavrentiev 399
  23. Regularization And Iterative Approximation For Linear Ill-Posed Problems In The Space Of Functions Of Bounded Variation 403
  24. A Posteriori Error Estimation For Ill-Posed Problems On Some Sourcewise Represented Or Compact Sets 425
  25. Multidimensional Inverse Problems For Hyperbolic Equations With Point Sources 443
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