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＜電子ブック＞
Boundary Value Problems with Global Projection Conditions / by Xiaochun Liu, Bert-Wolfgang Schulze
(Advances in Partial Differential Equations. ISSN:25043595 ; 265)

版	1st ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2018
大きさ	XVI, 410 p : online resource
著者標目	*Liu, Xiaochun author Schulze, Bert-Wolfgang author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Operator theory FREE:Differential Equations FREE:Global Analysis and Analysis on Manifolds FREE:Operator Theory
一般注記	Introduction -- Boundary Value Problems with Global Projection Conditions -- Edge Operators with Global Projection Conditions -- BVPs without the Transmission Property 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 Calderón-Seeley projections and the characterization of Cauchy data spaces HTTP:URL=https://doi.org/10.1007/978-3-319-70114-1

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