On an Inclusion of the Essential Spectrum of Laplacians under Non-Compact Change of Metric
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🧮 math.SP
keywords
metricessentialchangeinclusionlaplaciansundercompletioncontain
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It is shown the stability of the essential self-adjointness, and an inclusion of the essential spectra of Laplacians under the change of Riemannian metric on a subset K of M. The set K may have infinite volume measured with the new metric and its completion may contain a singular set such as fractal, to which the metric is not extendable.
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