Stability of semigroup smoothing under relatively bounded perturbations yields spectral and eventually positive perturbation theorems for elliptic PDEs.
The role of domination and smoothing conditions in the theory of eventually positive semigroups
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Smoothing of operator semigroups under relatively bounded perturbations
Stability of semigroup smoothing under relatively bounded perturbations yields spectral and eventually positive perturbation theorems for elliptic PDEs.