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Asymptotic expansions at nonsymmetric cuspidal points

  • We study asymptotics of solutions to the Dirichlet problem in a domain whose boundary contains a nonsymmetric conical point. We establish a complete asymptotic expansion of solutions near the singular point.

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Metadaten
Author details:Ibrahim LyGND, Nikolai Nikolaevich TarkhanovORCiDGND
URN:urn:nbn:de:kobv:517-opus4-78199
ISSN:2193-6943
Publication series (Volume number):Preprints des Instituts für Mathematik der Universität Potsdam (4 (2015) 7)
Publisher:Universitätsverlag Potsdam
Place of publishing:Potsdam
Publication type:Preprint
Language:English
Year of first publication:2015
Publication year:2015
Publishing institution:Universität Potsdam
Publishing institution:Universitätsverlag Potsdam
Release date:2015/07/07
Tag:asymptotic expansion; singular point; the Dirichlet problem
Volume:4
Issue:7
Number of pages:11
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
DDC classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
MSC classification:14-XX ALGEBRAIC GEOMETRY / 14Hxx Curves / 14H20 Singularities, local rings [See also 13Hxx, 14B05]
34-XX ORDINARY DIFFERENTIAL EQUATIONS / 34Mxx Differential equations in the complex domain [See also 30Dxx, 32G34] / 34M30 Asymptotics, summation methods
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] / 58J37 Perturbations; asymptotics
Collection(s):Universität Potsdam / Schriftenreihen / Preprints des Instituts für Mathematik der Universität Potsdam, ISSN 2193-6943 / 2015
Publishing method:Universitätsverlag Potsdam
License (German):License LogoKeine öffentliche Lizenz: Unter Urheberrechtsschutz
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