Asymptotics of solutions to the Laplace-Beltrami equation on a rotation surface with a cusp

被引：1
|
作者：
Kiselev, O. [1 ]
Shestakov, I. [2 ]
机构：
[1] Ctr Comp, Inst Math, Dept Differential Equat, Ufa, Russia
[2] Univ Potsdam, Inst Math, Potsdam, Germany
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 362卷 / 02期
关键词：
Manifolds with singularities; Laplace-Beltrami operator;
D O I：
10.1016/j.jmaa.2009.08.039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we study an asymptotic behaviour of solutions to the Laplace-Beltrami operator on a rotation surface near a cuspidal point. To this end we use the WKB-approximation. This approach describes the asymptotic behaviour of the solution more explicitly than abstract theory for operators with operator-valued coefficients. (C) 2009 Elsevier Inc. All rights reserved.
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页码：393 / 400
页数：8
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