Boundary Value Problems with Global Projection Conditions is popular PDF and ePub book, written by Xiaochun Liu in 2018-10-30, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Boundary Value Problems with Global Projection Conditions can be Read Online from any device for your convenience.
Boundary Value Problems with Global Projection Conditions Book PDF Summary
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.
Detail Book of Boundary Value Problems with Global Projection Conditions PDF
- Author : Xiaochun Liu
- Release : 30 October 2018
- Publisher : Birkhäuser
- ISBN : 9783319701141
- Genre : Mathematics
- Total Page : 421 pages
- Language : English
- PDF File Size : 19,6 Mb
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