Asymptotic dirichlet problem for the schrödinger operator via rough isometry

Yong Hah Lee

doi:10.1090/S0002-9939-05-08265-1

Asymptotic dirichlet problem for the schrödinger operator via rough isometry

Yong Hah Lee

Department of Mathematics Education

Research output: Contribution to journal › Article › peer-review

Abstract

We pose and solve the asymptotic Dirichlet problem for the Schrödinger operator via rough isometrics on a certain class of Riemannian manifolds. With suitable potentials, we give the solvability of the problem for a naturally defined class of data functions.

Original language	English
Pages (from-to)	3411-3420
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	133
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9939-05-08265-1
State	Published - Nov 2005

Keywords

Asymptotic Dirichlet problem
Rough isometry
Schrödinger operator

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10.1090/S0002-9939-05-08265-1

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title = "Asymptotic dirichlet problem for the schr{\"o}dinger operator via rough isometry",

abstract = "We pose and solve the asymptotic Dirichlet problem for the Schr{\"o}dinger operator via rough isometrics on a certain class of Riemannian manifolds. With suitable potentials, we give the solvability of the problem for a naturally defined class of data functions.",

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AB - We pose and solve the asymptotic Dirichlet problem for the Schrödinger operator via rough isometrics on a certain class of Riemannian manifolds. With suitable potentials, we give the solvability of the problem for a naturally defined class of data functions.

KW - Asymptotic Dirichlet problem

KW - Rough isometry

KW - Schrödinger operator

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Asymptotic dirichlet problem for the schrödinger operator via rough isometry

Abstract

Keywords

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