Product Information
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.Product Identifiers
PublisherBirkhauser Verlag A&G
ISBN-139783319701134
eBay Product ID (ePID)11046614703
Product Key Features
Number of Pages410 Pages
LanguageEnglish
Publication NameBoundary Value Problems with Global Projection Conditions
Publication Year2018
SubjectMathematics
TypeTextbook
AuthorBert-Wolfgang Schulze, Xiaochun Liu
SeriesAdvances in Partial Differential Equations
Dimensions
Item Height235 mm
Item Weight805 g
Item Width155 mm
Volume265
Additional Product Features
Country/Region of ManufactureSwitzerland
Title_AuthorBert-Wolfgang Schulze, Xiaochun Liu