2006/08/31 by Bert‐Wolfgang Schulze, B. -W. Schulze, Schulze, B. -W. +3 · 2 citations
Computer Science · Mathematics · #35S15 #47G30 #58J05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Matrix Theory and Algorithms #Operator Algebras (math.OA) #math.AP #math.OA #msc:35S15 #msc:47G30 #msc:58J05
paper · pdf · doi:10.48550/arxiv.math/0608792
26 pages, 1 figure
arxiv created 2006/08/31 · openalex publication_date 2006/08/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The task to construct parametrices of elliptic differential operators on a manifold with edges requires a calculus of operators with a two-component principal symbolic hierarchy, consisting of (edge-degenerate) interior and (operator-valued) edge symbols. This so-called edge-algebra can be interpreted as a generalisation of the (pseudo-differential) algebra of boundary value problems without the transmission property at the boundary. We study new properties of the edge-algebra, in particular, what concerns the role of Green operators and their kernel representations.