2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107604We 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.To appear in Arch. Math. (Basel)Analysis of PDEsSpectral Theory35P05; 35J30; 47F05text