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Ellipticity on spaces with higher singularities

Ellipticity on spaces with higher singularities
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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. 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.
出处 《Science China Mathematics》 SCIE CSCD 2017年第11期2053-2076,共24页 中国科学:数学(英文版)
基金 supported by National Science Foundation of USA (Grant No. DMS1408839) a McDevitt Endowment Fund at Georgetown University
关键词 pseudo-differential operators operator-valued symbols Fourier and Mellin transforms 空间椭圆 奇异 伪微分算子 椭圆度 微积分 层相 低维
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