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Více informací o knize Boundary Value Problems with Global Projection Conditions

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Anotace knihy

This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary. Every such 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 edge, including the case of operators without the transmission property. Further, the text shows how the calculus contains parametrices of elliptic elements. Finally, natural relations to the ellipticity of Atiyah-Patodi-Singer type for Dirac and other geometric operators, in particular spectral boundary conditions with Calderón-Seeley projections and characterization of Cauchy data spaces, are described.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Boundary Value Problems with Global Projection Conditions
• Autor: Xiaochun Liu, Bert-Wolfgang Schulze
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 410
• EAN: 9783319701134
• ISBN: 3319701134
• ID: 18255109
• Nakladatelství: Birkhauser
• Hmotnost: 796 g
• Rozměry: 243 × 307 × 26 mm
• Datum vydání: 08. November 2018

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