Solving integral representations problems for the stationary Schrödinger equation

DOI10.1155/2013/715252zbMath1470.35151OpenAlexW2140596775WikidataQ58916711 ScholiaQ58916711MaRDI QIDQ2319006

Yudong Ren

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/715252

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Schrödinger operator, Schrödinger equation (35J10) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (10)

RETRACTED ARTICLE: Existence of weak solutions of stochastic delay differential systems with Schrödinger-Brownian motions ⋮ Retracted: Normal families and asymptotic behaviors for solutions of certain Laplace equations ⋮ RETRACTED: Boundary behaviors for linear systems of subsolutions of the stationary Schrödinger equation ⋮ Lower estimates for certain harmonic functions in the half space ⋮ On the Tumura-Clunie theorem and its application ⋮ A remark on the a-minimally thin sets associated with the Schrödinger operator ⋮ Dirichlet problems of harmonic functions ⋮ RETRACTED: Minimally thin sets associated with the stationary Schrödinger operator ⋮ Rarefied sets at infinity associated with the Schrödinger operator ⋮ Schrödinger-type identity to the existence and uniqueness of a solution to the stationary Schrödinger equation

Cites Work

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• Dirichlet problem for the Schrödinger operator in a half space
• Modified Poisson integral and Green potential on a half-space
• Growth estimates for modified Green potentials in the upper-half space
• Integral representations of harmonic functions in half spaces
• Kernels for solving problems of Dirichlet type in a half-plane
• Liouville theorems for generalized harmonic functions
• Integral representations for harmonic functions of infinite order in a cone
• Growth property and integral representation of harmonic functions in a cone
• Schrödinger semigroups
• Integral representation for the solution of the stationary Schrödinger equation in a cone
• Integral representations of harmonic functions in a cone
• The Riesz decomposition theorem for superharmonic functions in a cone and its application
• Sharp growth estimates for modified Poisson integrals in a half space

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