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Asymptotic Dirichlet problem for the Schrödinger operator on negatively curved manifolds

✍ Scribed by Seok Woo Kim; Yong Hah Lee

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
111 KB
Volume
281
Category
Article
ISSN
0025-584X

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✦ Synopsis

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. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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