Bounds on resonances for the Laplacian on perturbations of half-space

被引：2

作者：

Edward, J ^{[1
]}

Pravica, D

机构：

[1] Florida Int Univ, Dept Math, Miami, FL 33199 USA

[2] E Carolina Univ, Dept Math, Greenville, NC 27858 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1999年 / 30卷 / 06期

关键词：

Laplacian; spectral resonances; resolvent estimates; half-space;

D O I：

10.1137/S003614109733172X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The resonances of the Laplacian on perturbations of half-spaces of dimensions greater than or equal to two, with either Dirichlet or Neumann boundary conditions, are studied. An upper bound for the resonance counting function is proven. If the domain has an elliptic, nondegenerate, nonglancing periodic billiard trajectory, it is shown that there exists a sequence of resonances that converge to the real axis.

引用

页码：1175 / 1184

页数：10