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Boundary Value Problems with Global Projection Conditions

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Boundary Value Problems with Global Projection Conditions/ by Xiaochun Liu, Bert-Wolfgang Schulze.
Author:	Liu, Xiaochun.
other author:	Schulze, Bert-Wolfgang.
Description:	XVI, 410 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Partial differential equations. -
Online resource:	https://doi.org/10.1007/978-3-319-70114-1
ISBN:	9783319701141

Boundary Value Problems with Global Projection Conditions
Liu, Xiaochun.

Boundary Value Problems with Global Projection Conditions[electronic resource] /by Xiaochun Liu, Bert-Wolfgang Schulze. - 1st ed. 2018. - XVI, 410 p.online resource. - Advances in Partial Differential Equations,2652504-3587 ;. - Advances in Partial Differential Equations,245.

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.

ISBN: 9783319701141

Standard No.: 10.1007/978-3-319-70114-1doiSubjects--Topical Terms:

1102982
Partial differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.353

Boundary Value Problems with Global Projection Conditions
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