Asymptotic dirichlet problem for the schrödinger operator via rough isometry

Yong Hah Lee

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)3411-3420
Number of pages10
JournalProceedings of the American Mathematical Society
Volume133
Issue number11
DOIs
StatePublished - Nov 2005

Keywords

  • Asymptotic Dirichlet problem
  • Rough isometry
  • Schrödinger operator

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