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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
Full-text PDF (357 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf1106
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
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\by Yu.~G.~Shondin
\paper Semibounded local hamiltonians for perturbations of the laplacian supported by curves with angle points in~$\mathbb R^4$
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\yr 1996
\vol 106
\issue 2
\pages 179--199
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\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 106
\issue 2
\pages 151--166
\crossref{https://doi.org/10.1007/BF02071070}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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