Stability of semigroup smoothing under relatively bounded perturbations yields spectral and eventually positive perturbation theorems for elliptic PDEs.
Non-positivity of the h eat equation with non-local Robin boundary conditions
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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.