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.

引用

页码：393 / 400

页数：8

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