Trace estimates and invariance of the essential spectrum (2006)
by
G. Barbatis
BibTeX
@MISC{Barbatis06traceestimates,
author = {G. Barbatis},
title = {Trace estimates and invariance of the essential spectrum},
year = {2006}
}
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Abstract
We provide sufficient conditions under which the difference of the resolvents of two higher-order operators acting in R N belongs to trace classes C p. We provide explicit estimates on the norm of the resolvent difference in terms of L p norms of the difference of the coefficients. Such inequalities are useful in estimating the effect of localized perturbations of the coefficients.
Citations
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