Minimal thinness in an isolated singularity of the Schrödinger equation and application to the Picard principle

DOI10.1007/BF01047840zbMath0794.31004OpenAlexW4234203797MaRDI QIDQ1320313

Ezzeddine Haouala

Publication date: 5 June 1994

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01047840

zbMATH Keywords

Kato classthin setSchrödinger's generalized equation

Mathematics Subject Classification ID

Martin boundary theory (31C35) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Schrödinger operator, Schrödinger equation (35J10) Connections of harmonic functions with differential equations in two dimensions (31A35)

Cites Work

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• A test of Picard principle for rotation free densities
• Potential theory. An analytic and probabilistic approach to balayage
• On topologies and boundaries in potential theory. Enlarged ed. of a course of lectures delivered in 1966
• A test for Picard principle
• Picard principle for finite densities
• Étude de l'équation de la chaleur $\Delta u=c(M)u(M)$, $c(M)\ge0$, au voisinage d'un point singulier du coefficient

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