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

Access to Document

10.1002/mana.200510653

Cite this

@article{2b9c208281f341f7854eca06f1a5dd41,

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.",

keywords = "Asymptotic Dirichlet problem, Schr{\"o}dinger operator",

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

year = "2008",

month = jul,

doi = "10.1002/mana.200510653",

language = "English",

volume = "281",

pages = "971--977",

journal = "Mathematische Nachrichten",

issn = "0025-584X",

publisher = "Wiley-VCH Verlag",

number = "7",

}

TY - JOUR

T1 - Asymptotic Dirichlet problem for the Schrödinger operator on negatively curved manifolds

AU - Seok, Woo Kim

AU - Yong, Hah Lee

PY - 2008/7

Y1 - 2008/7

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=55449129460&partnerID=8YFLogxK

U2 - 10.1002/mana.200510653

DO - 10.1002/mana.200510653

M3 - Article

AN - SCOPUS:55449129460

SN - 0025-584X

VL - 281

SP - 971

EP - 977

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 7

ER -

Asymptotic Dirichlet problem for the Schrödinger operator on negatively curved manifolds

Abstract

Keywords

Access to Document

Fingerprint

Cite this