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BOUNDARY VALUE PROBLEMS WITH GLOBAL PROJECTION CONDITIONS IBD

BIRKHäUSER
11 / 2018
9783319701134
Inglés

Sinopsis

This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary. In this regard, every operator admitságlobal projection boundary conditions, giving rise to analogues of Toeplitz operators inásubspaces of Sobolev spaces on the boundary associated with pseudo-differential projections. The book describes how these operator classes form algebras, and establishes the concept for Boutet de MonvelâÇÖs calculus, as well as for operators on manifolds with edges, including the case of operators without the transmission property. Further, it shows how the calculus contains parametrices of elliptic elements. Lastly, the book describes natural connections to ellipticity of Atiyah-Patodi-Singer type for Dirac and other geometric operators, in particular spectral boundary conditions with Calderón-Seeley projections and the characterization of Cauchy data spaces.

PVP
135,38