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تسجيل مستخدم جديدTrace estimates and invariance of the essential spectrum
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تأليف
G. Barbatis
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We 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.
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