Weak solutions for the stationary Schrödinger equation and its application

DOI10.1016/J.AML.2016.07.018zbMath1350.35072OpenAlexW2486829577MaRDI QIDQ311740

Mohammad Hasan, M. Dambrine

Publication date: 13 September 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.07.018

zbMATH Keywords

integral representationstationary Schrödinger equationCarleman's formula

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Schrödinger operator, Schrödinger equation (35J10) Weak solutions to PDEs (35D30)

Related Items (5)

A new type of minimal thinness with respect to the stationary Schrödinger operator and its applications ⋮ Solutions of the Dirichlet-Sch problem and asymptotic properties of solutions for the Schrödinger equation ⋮ Continuity of weak solutions to an elliptic problem on p$$ p $$‐fractional Laplacian ⋮ Asymptotic behaviors of Green-Sch potentials at infinity and its applications ⋮ Explicit solutions of cylindrical Schrödinger equation with radial potentials

Cites Work

• Integral representations of generalized harmonic functions
• Soliton solutions for fractional Schrödinger equations
• Harmonic majorization of a subharmonic function on a cone or on a cylinder
• On the lower bound for a class of harmonic functions in the half space
• Schrödinger semigroups
• Integral representation for the solution of the stationary Schrödinger equation in a cone
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