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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 106, Number 2, Pages 179–199
DOI: https://doi.org/10.4213/tmf1106
(Mi tmf1106)
 

This article is cited in 10 scientific papers (total in 10 papers)

Semibounded local hamiltonians for perturbations of the laplacian supported by curves with angle points in $\mathbb R^4$

Yu. G. Shondin

Nizhny Novgorod State Pedagogical University
References:
Abstract: Perturbations supported by curves with angle points are studied for the Laplacian in $\mathbb R^4$ within the framework of the extension theory. Classes of the self-adjoint extensions that are local, semibounded and generate a positivity preserving semigroup are distinguished. Their connection with the local Dirichlet forms is obtained.
Received: 17.05.1995
English version:
Theoretical and Mathematical Physics, 1996, Volume 106, Issue 2, Pages 151–166
DOI: https://doi.org/10.1007/BF02071070
Bibliographic databases:
Language: Russian
Citation: Yu. G. Shondin, “Semibounded local hamiltonians for perturbations of the laplacian supported by curves with angle points in $\mathbb R^4$”, TMF, 106:2 (1996), 179–199; Theoret. and Math. Phys., 106:2 (1996), 151–166
Citation in format AMSBIB
\Bibitem{Sho96}
\by Yu.~G.~Shondin
\paper Semibounded local hamiltonians for perturbations of the laplacian supported by curves with angle points in~$\mathbb R^4$
\jour TMF
\yr 1996
\vol 106
\issue 2
\pages 179--199
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\crossref{https://doi.org/10.4213/tmf1106}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1402004}
\zmath{https://zbmath.org/?q=an:0890.35037}
\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 106
\issue 2
\pages 151--166
\crossref{https://doi.org/10.1007/BF02071070}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996VN51500001}
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  • https://www.mathnet.ru/eng/tmf1106
  • https://doi.org/10.4213/tmf1106
  • https://www.mathnet.ru/eng/tmf/v106/i2/p179
  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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