On explicitly solvable Vekua equations and explicit solution of the stationary Schrödinger equation and of the equationdiv(σ∇u)=0

DOI10.1080/17476930601140343zbMath1122.30029OpenAlexW2069242027MaRDI QIDQ5297065

Vladislav V. Kravchenko, Héctor Oviedo

Publication date: 18 July 2007

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930601140343

zbMATH Keywords

Schrödinger equationpseudoanalytic functionconductivity equationVekua equation

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

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Cites Work

• On the relationship between \(p\)-analytic functions and Schrödinger equation
• Calderón's inverse conductivity problem in the plane
• An outline of the theory of pseudoanalytic functions
• On the reduction of the multidimensional stationary Schrödinger equation to a first-order equation and its relation to the pseudoanalytic function theory
• On a relation of pseudoanalytic function theory to the two-dimensional stationary Schrödinger equation and Taylor series in formal powers for its solutions
• New applications of pseudoanalytic function theory to the Dirac equation
• On the scattering method for the -equation and reconstruction of convection coefficients
• Uber die explizit-losbaren vekuaschen Differentialgleichungen

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