Ellipticity on spaces with higher singularities

被引：5
|
作者：
Chang, Der-Chen [1 ,2 ]
Schulze, Bert-Wolfgang [3 ]
机构：
[1] Georgetown Univ, Dept Math & Stat, Washington, DC 20057 USA
[2] Fu Jen Catholic Univ, Dept Math, New Taipei 242, Taiwan
[3] Univ Potsdam, Inst Math, D-14469 Potsdam, Germany
来源：
SCIENCE CHINA-MATHEMATICS | 2017年 / 60卷 / 11期
基金：
美国国家科学基金会;
关键词：
pseudo-differential operators; operator-valued symbols; Fourier and Mellin transforms; EDGE ALGEBRA STRUCTURE; PSEUDODIFFERENTIAL-OPERATORS; INDEX; QUANTIZATION; CALCULUS; BOUNDARY;
D O I：
10.1007/s11425-016-0519-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study corner-degenerate pseudo-differential operators of any singularity order and develop ellipticity based on the principal symbolic hierarchy, associated with the stratification of the underlying space. We construct parametrices within the calculus and discuss the aspect of additional trace and potential conditions along lower-dimensional strata.
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页码：2053 / 2076
页数：24
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