Differential Harnack inequalities for heat equations with potentials under geometric flows

DOI10.1007/s00013-013-0482-7zbMath1261.53064OpenAlexW2092787812WikidataQ115390099 ScholiaQ115390099MaRDI QIDQ1942320

Shouwen Fang

Publication date: 18 March 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-013-0482-7

zbMATH Keywords

heat equationgeometric flowHarnack estimate

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (7)

Gradient estimates for the weighted Lichnerowicz equation on smooth metric measure spaces ⋮ Long time existence of Ricci-harmonic flow ⋮ Harnack estimates for heat equations with potentials on evolving manifolds ⋮ Liouville theorem for heat equation Along ancient super Ricci flow via reduced geometry ⋮ The (logarithmic) Sobolev inequalities along geometric flow and applications ⋮ Long time existence and bounded scalar curvature in the Ricci-harmonic flow ⋮ Differential Harnack estimates for backward heat equations with potentials under geometric flows

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