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Spectral projection for the dbar-Neumann problem
Ammar Alsaedy
,
Nikolai Nikolaevich Tarkhanov
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 details:
Ammar Alsaedy
ORCiD
,
Nikolai Nikolaevich Tarkhanov
ORCiD
GND
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):
Keine öffentliche Lizenz: Unter Urheberrechtsschutz
External remark:
RVK-Notation: SI 990 , SK 540
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