Abstract
In this article, we give the three-sphere inequalities and three-ball inequalities for the singular elliptic equation div( A ∇ u) – Vu = 0, and the three-ball inequalities on the characteristic plane and the three-cylinder inequalities for the singular parabolic equation ∂ t u – div( A ∇ u) + Vu = 0, where the singular potential V belonging to the Kato-Fefferman-Phong's class. Some applications are also discussed.
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