Asymptotic Dirichlet problem for the Schrödinger operator on negatively curved manifolds

Woo Kim Seok; Hah Lee Yong

doi:10.1002/mana.200510653

Asymptotic Dirichlet problem for the Schrödinger operator on negatively curved manifolds

Woo Kim Seok, Hah Lee Yong

Department of Mathematics Education

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	971-977
Number of pages	7
Journal	Mathematische Nachrichten
Volume	281
Issue number	7
DOIs	https://doi.org/10.1002/mana.200510653
State	Published - Jul 2008

Keywords

Asymptotic Dirichlet problem
Schrödinger operator

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10.1002/mana.200510653

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title = "Asymptotic Dirichlet problem for the Schr{\"o}dinger operator on negatively curved manifolds",

abstract = "In this paper, we consider the asymptotic Dirichlet problem for the Schr{\"o}dinger 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 Schr{\"o}dinger operator.",

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author = "Seok, \{Woo Kim\} and Yong, \{Hah Lee\}",

year = "2008",

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AB - 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.

KW - Asymptotic Dirichlet problem

KW - Schrödinger operator

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DO - 10.1002/mana.200510653

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JO - Mathematische Nachrichten

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Asymptotic Dirichlet problem for the Schrödinger operator on negatively curved manifolds

Abstract

Keywords

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