Trace estimates and invariance of the essential spectrum

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dc.creatorBarbatis, G.
dc.date2006-01-18
dc.date.accessioned2026-07-07T06:59:03Z
dc.date.available2026-07-07T06:59:03Z
dc.descriptionWe provide sufficient conditions under which the difference of the resolvents of two higher-order operators acting in $\R^N$ belongs to trace classes $\cC^p$. 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.
dc.descriptionTo appear in Arch. Math. (Basel)
dc.identifierhttps://arxiv.org/abs/math/0601435
dc.identifierhttp://arxiv.org/abs/math/0601435
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107604
dc.subjectAnalysis of PDEs
dc.subjectSpectral Theory
dc.subject35P05; 35J30; 47F05
dc.titleTrace estimates and invariance of the essential spectrum
dc.typetext

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