Asymptotic Dirichlet problem for the Schrodinger operator via rough isometry

被引：0

作者：

Lee, YH ^{[1
]}

机构：

[1] Ewha Womans Univ, Dept Math Educ, Seoul 120750, South Korea

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 11期

关键词：

asymptotic Dirichlet problem; Schrodinger operator; rough isometry;

D O I：

10.1090/S0002-9939-05-08265-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We pose and solve the asymptotic Dirichlet problem for the Schrodinger operator via rough isometries 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.

引用

页码：3411 / 3420

页数：10

共 50 条

[1] Rough isometry and the asymptotic Dirichlet problem
Choi, HI
Kim, SW
Lee, YH
TOHOKU MATHEMATICAL JOURNAL, 1998, 50 (03) : 333 - 348
[2] Asymptotic Dirichlet problem for harmonic maps via rough isometry
Kim, SW
Lee, YH
FORUM MATHEMATICUM, 2001, 13 (01) : 37 - 49
[3] Asymptotic Dirichlet problem for the Schrodinger operator on negatively curved manifolds
Kim, Seolk Woo
Lee, Yong Hah
MATHEMATISCHE NACHRICHTEN, 2008, 281 (07) : 971 - 977
[4] THE DIRICHLET PROBLEM FOR THE SCHRODINGER OPERATOR
BROSSARD, J
DUKE MATHEMATICAL JOURNAL, 1985, 52 (01) : 199 - 210
[5] Rough isometry and energy finite solutions of the Schrodinger operator on graphs
Lee, YH
DISCRETE MATHEMATICS, 2003, 263 (1-3) : 167 - 177
[6] Dirichlet problem for the Schrodinger operator on a cone
Qiao, Lei
Deng, Guan-Tie
BOUNDARY VALUE PROBLEMS, 2012,
[7] Dirichlet Problem for the Schrodinger Operator in a Half Space
Su, Baiyun
ABSTRACT AND APPLIED ANALYSIS, 2012,
[8] Rough isometry and energy-finite solutions for the Schrodinger operator on Riemannian manifolds
Kim, SW
Lee, YH
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2003, 133 : 855 - 873
[9] ASYMPTOTIC DIRICHLET PROBLEM FOR THE SCHRODINGER OPERATOR ON 2-DIMENSIONAL CARTAN-HADAMARD MANIFOLDS
Kim, Seok Woo
Lee, Yong Hah
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 22 (04): : 565 - 568
[10] ROUGH ISOMETRY AND THE SPACE OF BOUNDED ENERGY FINITE SOLUTIONS OF THE SCHRODINGER OPERATOR ON GRAPHS
Kim, Seok Woo .
Lee, Yong Hah
Yoon, Joung-Hahn
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 25 (04): : 609 - 614

← 1 2 3 4 5 →