We state a weighted Hardy inequality in the context of the study of the Kolmogorov operators perturbed by inverse square potentials and of the related evolution problems. The weight function in the drift term is a probability density on $R^N$. We prove the optimality of the constant in the estimate and state existence and nonexistence results following the Cabr'e-Martel's approach extended to Kolmogorov operators.
A class of weighted Hardy inequalities and applications to evolution problems
CANALE, Anna
;
2020-01-01
Abstract
We state a weighted Hardy inequality in the context of the study of the Kolmogorov operators perturbed by inverse square potentials and of the related evolution problems. The weight function in the drift term is a probability density on $R^N$. We prove the optimality of the constant in the estimate and state existence and nonexistence results following the Cabr'e-Martel's approach extended to Kolmogorov operators.File in questo prodotto:
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