On an Inclusion of the Essential Spectrum of Laplacians under Non-Compact Change of Metric

Details On an Inclusion of the Essential Spectrum of Laplacians under Non-Compact Change of Metric On an Inclusion of the Essential Spectrum of Laplacians under Non-Compact Change of Metric

2011-03-10

arxiv.org/abs/1103.2163v1

Mathematics

Spectral Theory

8 pages

Scientific paper

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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