CiNii 図書 - Inverse logarithmic potential problem

著者

Inverse logarithmic potential problem

V.G. Cherednichenko

（Inverse and ill-posed problems series）

VSP, 1996

Includes bibliographical references

内容説明

01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information.

Part 1 Formulation of inverse logarithmic potential problem - fundamental equation: formulation of inverse problem
nonlinear boundary value problem for mapping function
the analytic continuation of the potential across a boundary
the boundary analyticity of domain is a solution to an inverse problem
the structure of inverse problem solution, final solvability, examples. Part 2 Local solvability of an inverse problem: univalent function variation
local theorem of existence
linearization of the boundary value problem
the auxiliary problem
the Newton-Kantorovitch method
the explicit solution of the linear problem
the local uniqueness theorem
the density variation - the equivalent solution set of the inverse problems - remarks
the complex-valued density case
existence theorems for the inverse problems for small constant densities
proof of theorems. Part 3 The estimate of bounded univalent function co-efficients and univalent polynomials. Part 4 Mass potential estimates - necessary conditions of solvability - a priori estimates for inverse problem solution. Part 5 The continuation by the parameter of an inverse problem solution. Part 6 On the analyticity and smoothness of an inverse problem solution. Part 7 Inverse linear problem - determination of a density of the given domain by its exterior potential. Part 8 Conjugation of harmonic and analytic functions - direct and inverse problems. Part 9 Applications in gravity prospecting and in magnetic prospecting. (Part contents)

「Nielsen BookData」より