On the solution of the static Maxwell system in axially symmetric inhomogeneous media

DOI10.1002/mma.1210zbMath1184.30039arXiv0704.1492OpenAlexW2074852654MaRDI QIDQ5187915

Kira V. Khmelnytskaya, Vladislav V. Kravchenko, Héctor Oviedo

Publication date: 9 March 2010

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.1492

zbMATH Keywords

electrostaticsinhomogeneous mediumgeneralized analytic functionpseudoanalytic functionstatic Maxwell system

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Electro- and magnetostatics (78A30) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20) First-order elliptic systems (35J46)

Related Items (5)

The static Maxwell system in three dimensional axially symmetric inhomogeneous media and axially symmetric generalization of the Cauchy-Riemann system ⋮ The existence of Cauchy kernels of Kravchenko-generalized Dirac operators ⋮ On a transplant operator and explicit construction of Cauchy-type integral representations for \(p\)-analytic functions ⋮ Electrostatic fields in some special inhomogeneous media and new generalizations of the Cauchy-Riemann system ⋮ A practical method for recovering Sturm–Liouville problems from the Weyl function

Cites Work

• Separable Laplace equation, magic Toeplitz matrix, and generalized Ohm's law
• Ultraspherical expansions and pseudo analytic functions
• Construction of Cauchy integrals for one class of nonanalytic functions of complex variables
• Zur Approximation pseudoanalytischer Funktionen durch Pseudopolynome
• On the relationship between \(p\)-analytic functions and Schrödinger equation
• Formal powers and power series
• On a factorization of second-order elliptic operators and applications
• Representation of the general solution of nonaxisymmetric stationary dynamic problems of the theory of elasticity in terms of modified rk-analytic functions
• On a relation of pseudoanalytic function theory to the two-dimensional stationary Schrödinger equation and Taylor series in formal powers for its solutions
• Hilbert Formulas for r-Analytic Functions in the Domain Exterior to Spindle

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