Dirichlet problem for the Schrödinger operator in a half space

DOI10.1155/2012/578197zbMath1246.35072OpenAlexW2130913898WikidataQ58695580 ScholiaQ58695580MaRDI QIDQ448739

Bai-Yun Su

Publication date: 7 September 2012

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

Full work available at URL: https://doi.org/10.1155/2012/578197

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (9)

A note on the boundary behavior for a modified Green function in the upper-half space ⋮ Applications of the generalised Dirichlet integral inequality to the Neumann problem with fast-growing continuous data ⋮ RETRACTED: A sharp Trudinger type inequality for harmonic functions and its applications ⋮ Lower estimates for certain harmonic functions in the half space ⋮ The modification of kernel function and its applications ⋮ 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 ⋮ Solving integral representations problems for the stationary Schrödinger equation

Cites Work

• Kernels for solving problems of Dirichlet type in a half-plane
• Dirichlet problem for the Schrödinger operator in a half-space with boundary data of arbitrary growth at infinity
• First eigenvalues and comparison of Green's functions for elliptic operators on manifolds or domains
• Liouville theorems for generalized harmonic functions
• Spherical harmonics
• Schrödinger semigroups
• Sharp growth estimates for modified Poisson integrals in a half space
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