Spectral projection for the dbar-Neumann problem

  • We show that the spectral kernel function of the dbar-Neumann problem on a non-compact strongly pseudoconvex manifold is smooth up to the boundary.

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Metadaten
Author:Ammar Alsaedy, Nikolai Tarkhanov
URN:urn:nbn:de:kobv:517-opus-58616
ISBN:2193-6943
Series (Serial Number):Preprints des Instituts für Mathematik der Universität Potsdam (1(2012)12)
Document Type:Preprint
Language:English
Date of Publication (online):2012/03/08
Year of Completion:2012
Publishing Institution:Universität Potsdam
Release Date:2012/03/08
Tag:dbar-Neumann problem; spectral kernel function; strongly pseudoconvex domains
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
MSC Classification:32-XX SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES (For infinite-dimensional holomorphy, see 46G20, 58B12) / 32Wxx Differential operators in several variables / 32W05 @ and @-Neumann operators
35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Nxx Overdetermined systems [See also 58Hxx, 58J10, 58J15] / 35N15 @-Neumann problem and generalizations; formal complexes [See also 32W05, 32W10, 58J10]
58-XX GLOBAL ANALYSIS, ANALYSIS ON MANIFOLDS [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx](For geometric integration theory, see 49Q15) / 58Jxx Partial differential equations on manifolds; differential operators [See also 32Wxx, 35-XX, 53Cxx] / 58J50 Spectral problems; spectral geometry; scattering theory [See also 35Pxx]
Collections:Universität Potsdam / Schriftenreihen / Preprints des Instituts für Mathematik der Universität Potsdam, ISSN 2193-6943 / 2012
Licence (German):License LogoKeine Nutzungslizenz vergeben - es gilt das deutsche Urheberrecht
Notes extern:RVK-Notation: SI 990 , SK 540