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Boundary value problems with global projection conditions

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Boundary value problems with global projection conditions/ by Xiaochun Liu, Bert-Wolfgang Schulze.
作者:	Liu, Xiaochun.
其他作者:	Schulze, Bert-Wolfgang.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xvi, 410 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Boundary value problems. -
電子資源:	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. - Cham :Springer International Publishing :2018. - xvi, 410 p. :ill., digital ;24 cm. - Advances in partial differential equations,v.2652504-3587 ;. - Advances in partial differential equations ;v.269..

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 Calderon-Seeley projections and the characterization of Cauchy data spaces.

ISBN: 9783319701141

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

528307
Boundary value problems.

LC Class. No.: QA379 / .L589 2018

Dewey Class. No.: 515.35

Boundary value problems with global projection conditions
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505 0 $a Introduction -- Boundary Value Problems with Global Projection Conditions -- Edge Operators with Global Projection Conditions -- BVPs without the Transmission Property.
520 $a 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.
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