Cargando…

Inverse logarithmic potential problem /

Detalles Bibliográficos
Clasificación:	Libro Electrónico
Autor principal:	Chedrednichenko, V. G. (Autor)
Formato:	Electrónico eBook
Idioma:	Inglés
Publicado:	Utrecht, the Netherlands : VSP, 1996.
Colección:	Inverse and ill-posed problems series.
Temas:	Logarithms. Inverse problems (Differential equations) Mathematics. Mathematics Logarithmes. Problèmes inverses (Équations différentielles) Mathématiques. logarithms. MATHEMATICS > Calculus. MATHEMATICS > Mathematical Analysis. Logarithms
Acceso en línea:	Texto completo

Tabla de Contenidos:

Introduction
Chapter 1. Formulation of Inverse Logarithmic Potential Problem. Fundamental Equation
Â1.1 Formulation of inverse problem
Â1.2 Nonlinear boundary value problem for mapping function
Â1.3 The analytic continuation of the potential across a boundary
Â1.4 The boundary analyticity of domain is a solution to an inverse problem
Â1.5 The structure of inverse problem solution. final solvability. Examples
Chapter 2. Local Solvability of an Inverse Problem
Â2.1 Univalent function variation
Â2.2 Local theorem of existence
Â2.3 Linearization of the boundary value problemÂ2.4 The auxiliary problem
Â2.5 The Newton-Kantorovitch method
Â2.6 The explicit solution of the linear problem
Â2.7 The local uniqueness theorem
Â2.8 The density variation. The equivalent solution set of the inverse problems. Remarks
Â2.9 The complex-valued density case
Â2.10 Existence theorems for the inverse problem for small constant densities
Â2.11 Proof of theorems
Chapter 3. The Estimate of Bounded Univalent Function Coefficients and Univalent Polynomials
Â3.1 Classical estimates. Classes of bounded functions and with bounded image areaÂ3.2 The estimate of univalent polynomials coefficients
Â3.3 The Diedonne-Horowitz inequalities for univalent polynomials
Â3.4 Numerical estimates of univalent polynomials coefficients
Chapter 4. Mass Potential Estimates. Necessary Conditions for Solvability. A Priori Estimates for Inverse Problem Solution
Â4.1 Exact estimates for a mass potential gradient in the three-dimensional case. Extremal domain
Â4.2 Exact estimates of logarithmic mass potential
Â4.3 A priori estimates for inverse potential problem solutionÂ4.4 On zeros of a potential mass gradient
Â4.5 Estimates of mass potential derivatives in a fixed angle
Â4.6 The estimates of the mass potential derivatives in the disk
Â4.7 The estimate of the mass potential based on the Calderon-Zygmund results for the singular integral
Â4.8 The necessary solvability conditions, a priori estimates â€? using the univalent function theory
Chapter 5. The Continuation by the Parameter of an Inverse Problem Solution
Â5.1 The dependence of an inverse problem solution on the parameter
a constant densityÂ5.2 The theorem on the continuation of a solution by the parameter
Â5.3 Inverse potential problems and univalent functions
Chapter 6. On the Analyticity and Smoothness of an Inverse Problem Solution
Â6.1 Theorem on the smoothness of inverse problem solutions
Â6.2 Applications of the theorem on smoothness, in connection with free boundary smoothness
Â6.3 Analytical continuation of the potential through the angle points

Inverse logarithmic potential problem /

Ejemplares similares