TY - JOUR
T1 - On an inclusion of the essential spectrum of laplacians under non-compact change of metric
AU - Masamune, Jun
PY - 2012
Y1 - 2012
N2 - The stability of essential self-adjointness and an inclusion of the essential spectra of Laplacians under the change of a Riemannian metric on a subset K of M are proved. The set K may have infinite volume measured with the new metric, and its completion may contain a singular set such as the fractal set, to which the metric is not extendable.
AB - The stability of essential self-adjointness and an inclusion of the essential spectra of Laplacians under the change of a Riemannian metric on a subset K of M are proved. The set K may have infinite volume measured with the new metric, and its completion may contain a singular set such as the fractal set, to which the metric is not extendable.
KW - Essential self-adjointness
KW - Essential spectrum
KW - Ncomplete manifolds
KW - Perturbations
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U2 - 10.1090/S0002-9939-2011-10965-1
DO - 10.1090/S0002-9939-2011-10965-1
M3 - Article
AN - SCOPUS:82255165456
SN - 0002-9939
VL - 140
SP - 1045
EP - 1052
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 3
ER -