Inverse Logarithmic Potential Problem

V. G. Cherednichenko

Book

Inverse Logarithmic Potential Problem

V. G. Cherednichenko

Language: English

Published/Copyright: 1996

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This book is in the series

Volume 5 | Inverse and Ill-Posed Problems Series

Topics

Mathematics Differential Equations and Dynamical Systems

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Frontmatter
I

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Contents
V

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Introduction
1

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Chapter 1. Formulation of Inverse Logarithmic Potential Problem. Fundamental Equation
7

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Chapter 2. Local Solvability of an Inverse Problem
41

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Chapter 3. The Estimate of Bounded Univalent Function Coefficients and Univalent Polynomials
71

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Chapter 4. Mass Potential Estimates. Necessary Conditions for Solvability. A Priori Estimates for Inverse Problem Solution
85

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Chapter 5. The Continuation by the Parameter of an Inverse Problem Solution
125

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Chapter 6. On the Analyticity and Smoothness of an Inverse Problem Solution
139

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Chapter 7. Inverse Linear Problem. Determination of a Density of the Given Domain by its Exterior Potential
155

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Chapter 8. Conjugation of Harmonic and Analytic Functions: Direct and Inverse Problems
173

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Chapter 9. Applications in Gravity Prospecting and in Magnetic Prospecting
205

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Bibliography
229

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Publishing information

Pages and Images/Illustrations in book

eBook published on:

July 24, 2014

eBook ISBN:

9783110900125

Hardcover published on:

February 1, 1996

Hardcover ISBN:

9783110355369

Edition:

Reprint 2014

Pages and Images/Illustrations in book

Front matter:

3

Main content:

247

https://doi.org/10.1515/9783110900125

eBook ISBN: 9783110900125

Hardcover ISBN: 9783110355369

Keywords for this book

Inverses Problem; Partielle Differentialgleichung

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Inverse Logarithmic Potential Problem

Overview

Topics

Table of contents

Frontmatter

Contents

Introduction

Chapter 1. Formulation of Inverse Logarithmic Potential Problem. Fundamental Equation

Chapter 2. Local Solvability of an Inverse Problem

Chapter 3. The Estimate of Bounded Univalent Function Coefficients and Univalent Polynomials

Chapter 4. Mass Potential Estimates. Necessary Conditions for Solvability. A Priori Estimates for Inverse Problem Solution

Chapter 5. The Continuation by the Parameter of an Inverse Problem Solution

Chapter 6. On the Analyticity and Smoothness of an Inverse Problem Solution

Chapter 7. Inverse Linear Problem. Determination of a Density of the Given Domain by its Exterior Potential

Chapter 8. Conjugation of Harmonic and Analytic Functions: Direct and Inverse Problems

Chapter 9. Applications in Gravity Prospecting and in Magnetic Prospecting

Bibliography

Bibliographic data