Abstract
We now define the notion of Shapiro–Lopatinskii ellipticity (also known as SLellipticity) of boundary conditions for an operator in Boutet de Monvel’s calculus on a smooth manifold X with boundary Y . The results can be found, for instance, in the monograph [34] of Rempel and Schulze, and of course, also in the work [9] of Boutet de Monvel; see also the monograph of Grubb [19]. Therefore, here we only sketch the proofs.
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Liu, X., Schulze, BW. (2018). Shapiro–Lopatinskii ellipticity. In: Boundary Value Problems with Global Projection Conditions. Operator Theory: Advances and Applications(), vol 265. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-70114-1_3
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DOI: https://doi.org/10.1007/978-3-319-70114-1_3
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-70113-4
Online ISBN: 978-3-319-70114-1
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