Boundary Value Problems with Global Projection Conditions (Hardcover, 1st ed. 2018)

This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary. In this regard, every operator admits global projection boundary conditions, giving rise to analogues of Toeplitz operators in subspaces 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 Monvel's 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 Calderon-Seeley projections and the characterization of Cauchy data spaces.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Operator Theory: Advances and Applications, 265
Release date:	November 2018
First published:	2018
Authors:	Xiaochun Liu • Bert-Wolfgang Schulze
Dimensions:	235 x 155 x 26mm (L x W x T)
Format:	Hardcover
Pages:	410
Edition:	1st ed. 2018
ISBN-13:	978-3-319-70113-4
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
LSN:	3-319-70113-4
Barcode:	9783319701134

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