Ill-Posed and Inverse Problems (eBook)

Frontmatter -- Preface -- Contents -- Representations Of Functions Of Many Complex Variables And Inverse Problems For Kinetic Equations -- Uniqueness In Determining Piecewise Analytic Coefficients In Hyperbolic Equations -- Direct And Inverse Problems For Evolution Integro-Differential Equations Of The First-Order In Time -- How To See Waves Under The Earth Surface (The Bc-Method For Geophysicists) -- Global Theorem Of Uniqueness Of Solution To Inverse Coefficient Problem For A Quasilinear Hyperbolic Equation -- Identification Of Parameters In Polymer Crystallization, Semiconductor Models And Elasticity Via Iterative Regularization Methods H. W. Engl -- The Tomato Salad Problem In Spherical Stereology R. Gorenflo -- Two Methods In Inverse Problem And Extraction Formulae -- Identification Of The Unknown Potential In The Nonstationary Schrödinger Equation -- Iterative Methods Of Solving Inverse Problems For Hyperbolic Equations -- Carleman Estimates And Inverse Problems: Uniqueness And Convexification Of Multiextremal Objective Functions -- Convergence Analysis Of A Landweber—Kaczmarz Method For Solving Nonlinear Ill-Posed Problems -- A Sampling Method For An Inverse Boundary Value Problem For Harmonic Vector Fields -- Approaching A Partial Differential Equation Of Mixed Elliptic-Hyperbolic Type -- Complex Geometrical Optics Solutions And Pseudoanalytic Matrices -- Numerical Solution Of Inverse Evolution Problems Via The Nonlinear Levitan Equation -- An Inverse Problem For A Parabolic Equation With Final Overdetermination -- Uniqueness Theorems For An Inverse Problem Related To Local Heterogeneities And Data On A Piece Of A Plane -- On Ill-Posed Problems And Professor Lavrentiev -- Regularization And Iterative Approximation For Linear Ill-Posed Problems In The Space Of Functions Of Bounded Variation -- A Posteriori Error Estimation For Ill-Posed Problems On Some Sourcewise Represented Or Compact Sets -- Multidimensional Inverse Problems For Hyperbolic Equations With Point Sources