Semibounded local hamiltonians for perturbations of the laplacian supported by curves with angle points in~$\mathbb R^4$
Teoretičeskaâ i matematičeskaâ fizika, Tome 106 (1996) no. 2, pp. 179-199
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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.
@article{TMF_1996_106_2_a0,
author = {Yu. G. Shondin},
title = {Semibounded local hamiltonians for perturbations of the laplacian supported by curves with angle points in~$\mathbb R^4$},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {179--199},
publisher = {mathdoc},
volume = {106},
number = {2},
year = {1996},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1996_106_2_a0/}
}
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%0 Journal Article %A Yu. G. Shondin %T Semibounded local hamiltonians for perturbations of the laplacian supported by curves with angle points in~$\mathbb R^4$ %J Teoretičeskaâ i matematičeskaâ fizika %D 1996 %P 179-199 %V 106 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1996_106_2_a0/ %G ru %F TMF_1996_106_2_a0
Yu. G. Shondin. Semibounded local hamiltonians for perturbations of the laplacian supported by curves with angle points in~$\mathbb R^4$. Teoretičeskaâ i matematičeskaâ fizika, Tome 106 (1996) no. 2, pp. 179-199. http://geodesic.mathdoc.fr/item/TMF_1996_106_2_a0/