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.

Download full text files

Export metadata

Additional Services

Search Google Scholar Statistics
Metadaten
Author details:Ammar AlsaedyORCiD, Nikolai Nikolaevich TarkhanovORCiDGND
URN:urn:nbn:de:kobv:517-opus-58616
ISSN:2193-6943
Publication series (Volume number):Preprints des Instituts für Mathematik der Universität Potsdam (1(2012)12)
Publication type:Preprint
Language:English
Publication year: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
DDC 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]
Collection(s):Universität Potsdam / Schriftenreihen / Preprints des Instituts für Mathematik der Universität Potsdam, ISSN 2193-6943 / 2012
License (German):License LogoKeine öffentliche Lizenz: Unter Urheberrechtsschutz
External remark:RVK-Notation: SI 990 , SK 540
Accept ✔
This website uses technically necessary session cookies. By continuing to use the website, you agree to this. You can find our privacy policy here.