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Differential Harnack Estimates and Frequency Monotonicity for Filtration Equations on Riemannian Manifolds

Hao, Jian-Hua et al.
arXiv (All) · Papers
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35b4553c21analysis-of-pdesdifferential-geometry
In this work we derive local differential Harnack estimates for positive solutions of filtration equations on complete Riemannian manifolds with a lower Ricci curvature bound by using Nash--Moser iteration. Inspired by earlier work on parabolic frequency functions, we establish some new frequency mo
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