Asymptotic Dirichlet problem for the Schrödinger operator on negatively curved manifolds

Woo Kim Seok, Hah Lee Yong

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we consider the asymptotic Dirichlet problem for the Schrödinger operator on a Cartan-Hadamard manifold with suitably pinched curvature. With potentials satisfying a certain decay rate condition, we give the solvability of the asymptotic Dirichlet problem for the Schrödinger operator.

Original languageEnglish
Pages (from-to)971-977
Number of pages7
JournalMathematische Nachrichten
Volume281
Issue number7
DOIs
StatePublished - Jul 2008

Keywords

  • Asymptotic Dirichlet problem
  • Schrödinger operator

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