An algebra of boundary value problems not requiring Shapiro-Lopatinskij conditions

Authors
Schulze, BW
Citation
Bw. Schulze, An algebra of boundary value problems not requiring Shapiro-Lopatinskij conditions, J FUNCT ANA, 179(2), 2001, pp. 374-408
Citations number
36
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF FUNCTIONAL ANALYSIS
ISSN journal
00221236 → ACNP
Volume
179
Issue
2
Year of publication
2001
Pages
374 - 408
Database
ISI
SICI code
0022-1236(20010201)179:2<374:AAOBVP>2.0.ZU;2-G
Abstract
We construct an algebra of pseudo-differential boundary value problems that contains the classical Shapiro-Lopatinskij elliptic problems as well as al l differential elliptic problems of Dirac type with APS boundary conditions , together with their parametrices. Global pseudo-differential projections on the boundary are used to define ellipticity and to show the Fredholm pro perty in suitable scales of spaces. (C) 2001 Academic Press.