Hyperanalytic functions and their applications

DOI10.1007/s10958-006-0023-zzbMath1276.35075OpenAlexW2012860623MaRDI QIDQ2488364

Alexandr P. Soldatov

Publication date: 23 May 2006

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-006-0023-z

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) PDEs in connection with mechanics of deformable solids (35Q74) Other generalizations of analytic functions (including abstract-valued functions) (30G30) Second-order elliptic systems (35J47) Equilibrium (steady-state) problems in solid mechanics (74G99)

Related Items

Boundary-value problems for analytic and generalized analytic functions, Schwarz problem for \(J\)-analytic functions in an ellipse, Hölder norm estimate for the fractal Hilbert transform in Douglis analysis, Representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra, Mixed contact problem for the Lamé system with piecewise constant main coefficients, Some properties of the solutions space of irregular elliptic systems, Schwarz problem for first-order elliptic systems on the plane, Riemann-Hilbert problem for first-order elliptic systems with constant leading coefficients on the plane, Riemann and Dirichlet type problems for hyperanalytic functions in fractal domains, Integral representations of vector functions based on the parametrix of first-order elliptic systems

Cites Work

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• Function theoretic solutions to problems of orthotropic elasticity
• Hyperholomorphic functions and higher order partial differential equations in the plane
• Interior estimates for elliptic systems of partial differential equations
• Pseudohyperanalytic Functions
• A FUNCTION THEORY METHOD IN BOUNDARY VALUE PROBLEMS IN THE PLANE. I: THE SMOOTH CASE
• A FUNCTION THEORY METHOD IN ELLIPTIC PROBLEMS IN THE PLANE. II. THE PIECEWISE SMOOTH CASE
• Generalized Hypercomplex Function Theory
• 22.—Analytic, Generalized, Hyperanalytic Function Theory and an Application to Elasticity
• A class of hyperbolic operators with double involutive characteristics of fuchsian type
• A function‐theoretic approach to elliptic systems of equations in two variables
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