HEAT-EQUATION ASYMPTOTICS OF ELLIPTIC-OPERATORS WITH NONSCALAR LEADING SYMBOL

被引：9

作者：

BRANSON, TP

GILKEY, PB

PIERZCHALSKI, A

机构：

[1] UNIV LODZ,DEPT MATH,PL-90238 LODZ,POLAND

[2] UNIV OREGON,DEPT MATH,EUGENE,OR 97403

来源：

MATHEMATISCHE NACHRICHTEN | 1994年 / 166卷

关键词：

D O I：

10.1002/mana.19941660116

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M be a compact smoot Riemannian manifold without boundary and let D = ad0delta0 + bdelta1d1 - E on the space of smooth sections of the cotangent bundle where a and b are positive constants and where E is an endomorphism. We use functorial methods and the pseudo-differential operator calculus to compute the quadratic term a4(D) in the asymptotic expansion of the heat equation trace.

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页码：207 / 215

页数：9

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