Format:
1 online resource (140 pages)
ISBN:
9783110271478
Series Statement:
Inverse and Ill-Posed Problems Ser v.4
Content:
The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Content:
Intro -- 1. Operator Equations and Inverse Problems -- 1.1 Definition of Quasimonotonicity, the Uniqueness Theorem -- 1.2 Inverse Problems for Hyperbolic Equations -- 1.3 Multidimensional Inverse Kinematic Problem of Seismics -- 1.4 On the Uniqueness of the Solution of the Fredholm and Volterra First Kind Integral Equations -- 1.5 On the Uniqueness of the Solution of Integral Equations of the First Kind with Entire Kernel -- 1.6 Existence and Uniqueness of a Solution to an Inverse Problem for a Parabolic Equation -- 1.7 On Unique Solvability of an Inverse Problem for a Parabolic Equation -- 1.8 Formulas in Multidimensional Inverse Problems for Evolution Equations -- 2. Inverse Problems for Kinetic Equations -- 2.1 Kinetic Equations -- 2.2 An Example of an Inverse Problem for Kinetic Equation -- 2.3 One-dimensional Inverse Problems -- 2.4 Multidimensional Inverse Problems -- 2.5 An Uniqueness Theorem for the Solution of an Inverse Problem for a Kinetic Equation -- 2.6 The General Uniqueness Theorem -- 2.7 The Effect of the 'Redundant' Equation -- 2.8 Problem of Separation -- 2.9 Differential and Integro-differential Identities -- 2.10 Solution Existence Problems -- 2.11 An Inverse Problem of Mathematical Biology -- 3. Geometry of Convex Surfaces in the Large and Inverse Problems of Scattering Theory -- 3.1 Geometrical Question of Scattering Theory -- 3.2 Integral Equation of the First Kind -- 3.3 Uniqueness -- 3.4 Existence -- 3.5 Stability -- 4. Integral Geometry -- 4.1 Inversion Formulas -- 4.2 The Uniqueness and Solvability -- 4.3 Some Applications -- 4.4 The Structure of Riemann Spaces and Problems of the Integral Geometry -- 4.5 The Solvability of a Problem in Integral Geometry by Integration along Geodesics -- References.
Note:
Description based on publisher supplied metadata and other sources
Additional Edition:
ISBN 9783110346664
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783110346664
Language:
English
