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Matematicheskie Zametki, 1998, Volume 64, Issue 4, Pages 493–505
DOI: https://doi.org/10.4213/mzm1424 (Mi mzm1424) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The leading term of the spectral asymptotics for the Kohn–Laplace operator in a bounded domain

Yu. A. Alkhutov, V. V. Zhikov

Vladimir State Pedagogical University
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DOI: https://doi.org/10.4213/mzm1424
Abstract: We prove the Weyl asymptotic formula for the number of eigenvalues of the Kohn–Laplace operator on a Heisenberg group and write out the leading term of asymptotics. The method of study is based on estimates of the Green function for the Dirichlet problem for the corresponding parabolic operator and makes use of the classical Hardy–Littlewood Tauberian theorem.
Received: 02.10.1997
English version:
Mathematical Notes, 1998, Volume 64, Issue 4, Pages 429–439
DOI: https://doi.org/10.1007/BF02314623
Bibliographic databases:
UDC: 517.956
Language: Russian
Citation: Yu. A. Alkhutov, V. V. Zhikov, “The leading term of the spectral asymptotics for the Kohn–Laplace operator in a bounded domain”, Mat. Zametki, 64:4 (1998), 493–505; Math. Notes, 64:4 (1998), 429–439
Citation in format AMSBIB
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\by Yu.~A.~Alkhutov, V.~V.~Zhikov
\paper The leading term of the spectral asymptotics for the Kohn--Laplace operator in a bounded domain
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\yr 1998
\vol 64
\issue 4
\pages 493--505
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\transl
\jour Math. Notes
\yr 1998
\vol 64
\issue 4
\pages 429--439
\crossref{https://doi.org/10.1007/BF02314623}
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    • This publication is cited in the following 1 articles:
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