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Matematicheskie Zametki, 1998, Volume 63, Issue 1, Pages 28–36
DOI: https://doi.org/10.4213/mzm1245 (Mi mzm1245) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Asymptotics of the parabolic Green function for an elliptic operator on a manifold with conical points

A. I. Karol'

Saint-Petersburg State University
Full-text PDF (220 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm1245
Abstract: We construct the asymptotics as t→0 of the trace of the operator exp(−tP) for an elliptic operator P on a manifold with conical points.
Received: 19.01.1995
Revised: 26.04.1996
English version:
Mathematical Notes, 1998, Volume 63, Issue 1, Pages 25–32
DOI: https://doi.org/10.1007/BF02316140
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: A. I. Karol', “Asymptotics of the parabolic Green function for an elliptic operator on a manifold with conical points”, Mat. Zametki, 63:1 (1998), 28–36; Math. Notes, 63:1 (1998), 25–32
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm1245
  • https://doi.org/10.4213/mzm1245
  • https://www.mathnet.ru/eng/mzm/v63/i1/p28
    • This publication is cited in the following 5 articles:
    1. Medet Nursultanov, Julie Rowlett, David Sher, “The heat kernel on curvilinear polygonal domains in surfaces”, Ann. Math. Québec, 2024  crossref
    2. Avramidi, IG, “Heat kernel asymptotics of Zaremba boundary value problem”, Mathematical Physics Analysis and Geometry, 7:1 (2004), 9  crossref  mathscinet  zmath  adsnasa  isi  scopus
    3. Loya, P, “Asymptotic properties of the heat kernel on conic manifolds”, Israel Journal of Mathematics, 136 (2003), 285  crossref  mathscinet  zmath  isi  scopus
    4. Gil, JB, “Full asymptotic expansion of the heat trace for non-self-adjoint elliptic cone operators”, Mathematische Nachrichten, 250 (2003), 25  crossref  mathscinet  zmath  isi  scopus
    5. Loya, P, “On the resolvent of differential operators on conic manifolds”, Communications in Analysis and Geometry, 10:5 (2002), 877  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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