Geometry and spectra of closed extensions of elliptic cone operators

被引：19
|
作者：
Gil, Juan B.
Krainer, Thomas
Mendoza, Gerardo A.
机构：
[1] Penn State Altoona, Altoona, PA 16601 USA
[2] Temple Univ, Dept Math, Philadelphia, PA 19122 USA
来源：
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2007年 / 59卷 / 04期
关键词：
resolvents; manifolds with conical singularities; spectral theory; boundary value problems; Grassmannians;
D O I：
10.4153/CJM-2007-033-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the geometry of the set of closed extensions of index 0 of an elliptic differential cone operator and its model operator in connection with the spectra of the extensions, and we give a necessary and sufficient condition for the existence of rays of minimal growth for such operators.
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页码：742 / 794
页数：53
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