Asymptotic Dirichlet problem for the Schrödinger operator via rough isometry

DOI10.1090/S0002-9939-05-08265-1zbMath1081.58012OpenAlexW1547219966MaRDI QIDQ5461361

Yong Hah Lee

Publication date: 26 July 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-08265-1

zbMATH Keywords

Schrödinger operatorrough isometryasymptotic Dirichlet problem

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

• Unnamed Item
• Rough isometries, and combinatorial approximations of geometries of non- compact Riemannian manifolds
• The Dirichlet problem at infinity for manifolds of negative curvature
• The Dirichlet problem at infinity for a negatively curved manifold
• Positive harmonic functions on complete manifolds of negative curvature
• The Dirichlet problem at infinity for nonpositively curved manifolds
• Rough isometry and the asymptotic Dirichlet problem
• A Liouville property for Schrödinger operators
• Harmonic rough isometries into Hadamard space
• Isometric Riemannian manifolds at infinity
• Asymptotic Dirichlet Problems for Harmonic Functions on Riemannian Manifolds
• A note on the isoperimetric constant

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