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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:
Acceso en línea:Texto completo

MARC

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100 1 |a Chedrednichenko, V. G.,  |e author. 
245 1 0 |a Inverse logarithmic potential problem /  |c V.G. Cherednichenko. 
264 1 |a Utrecht, the Netherlands :  |b VSP,  |c 1996. 
300 |a 1 online resource (255 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Inverse and ill-posed problems series 
504 |a Includes bibliographical references. 
588 0 |a Online resource; title from PDF title page (ebrary, viewed February 12, 2015). 
505 0 |a 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 
505 8 |a 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 
505 8 |a 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 
505 8 |a 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 
505 8 |a 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 
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650 0 |a Inverse problems (Differential equations) 
650 0 |a Mathematics. 
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650 6 |a Problèmes inverses (Équations différentielles) 
650 6 |a Mathématiques. 
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650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Inverse problems (Differential equations)  |2 fast 
650 7 |a Logarithms  |2 fast 
650 7 |a Mathematics  |2 fast 
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776 0 8 |i Print version:  |a Chedrednichenko, V.G.  |t Inverse Logarithmic Potential Problem.  |d Munchen : De Gruyter, ©1996  |z 9789067642026 
830 0 |a Inverse and ill-posed problems series. 
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