Multidimensional inverse and ill-posed problems for differential equations

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1. Verfasser: Anikonov, I͡U. E. (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Utrecht, The Netherlands VSP 1995
Schriftenreihe:Inverse and ill-posed problems series
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505 8 |a 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 
505 8 |a 1.7 On Unique Solvability of an Inverse Problem for a Parabolic Equation1.8 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 â€?Redundantâ€? Equation -- 2.8 Problem of Separation 
505 8 |a 2.9 Differential and Integro-differential Identities2.10 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 
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Datensatz im Suchindex

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author Anikonov, I͡U. E.
author_facet Anikonov, I͡U. E.
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contents 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 Equation1.8 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 Identities2.10 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
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series2 Inverse and ill-posed problems series
spellingShingle Anikonov, I͡U. E.
Multidimensional inverse and ill-posed problems for differential equations
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 Equation1.8 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 Identities2.10 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
Équations aux dérivées partielles Problèmes mal posés
Problèmes inverses (Équations différentielles)
Differential equations, Partial Improperly posed problems
Inverse problems (Differential equations)
MATHEMATICS Calculus
MATHEMATICS Mathematical Analysis
Inverses Problem (DE-588)4125161-1 gnd
Differentialgleichung (DE-588)4012249-9 gnd
Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd
subject_GND (DE-588)4125161-1
(DE-588)4012249-9
(DE-588)4186951-5
title Multidimensional inverse and ill-posed problems for differential equations
title_auth Multidimensional inverse and ill-posed problems for differential equations
title_exact_search Multidimensional inverse and ill-posed problems for differential equations
title_full Multidimensional inverse and ill-posed problems for differential equations Yu. E. Anikonov
title_fullStr Multidimensional inverse and ill-posed problems for differential equations Yu. E. Anikonov
title_full_unstemmed Multidimensional inverse and ill-posed problems for differential equations Yu. E. Anikonov
title_short Multidimensional inverse and ill-posed problems for differential equations
title_sort multidimensional inverse and ill posed problems for differential equations
topic Équations aux dérivées partielles Problèmes mal posés
Problèmes inverses (Équations différentielles)
Differential equations, Partial Improperly posed problems
Inverse problems (Differential equations)
MATHEMATICS Calculus
MATHEMATICS Mathematical Analysis
Inverses Problem (DE-588)4125161-1 gnd
Differentialgleichung (DE-588)4012249-9 gnd
Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd
topic_facet Équations aux dérivées partielles
Problèmes inverses (Équations différentielles)
Differential equations, Partial
Inverse problems (Differential equations)
MATHEMATICS
Differential equations, Partial Improperly posed problems
Inverses Problem
Differentialgleichung
Inkorrekt gestelltes Problem
url https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=832825
work_keys_str_mv AT anikonoviue multidimensionalinverseandillposedproblemsfordifferentialequations