Differential Harnack and logarithmic Sobolev inequalities along Ricci-harmonic map flow

DOI10.2140/PJM.2015.278.257zbMath1333.53102OpenAlexW1925520415MaRDI QIDQ745091

Abimbola Abolarinwa

Publication date: 13 October 2015

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2015.278.257

zbMATH Keywords

logarithmic Sobolev inequalitiesheat semigroupultracontractivityHarnack inequalitiesmonotonicity formulaRicci-harmonic map heat flow

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (11)

Differential Harnack estimates for a nonlinear evolution equation of Allen-Cahn type ⋮ Elliptic gradient estimates for a nonlinear \(f\)-heat equation on weighted manifolds with evolving metrics and potentials ⋮ Basic structural equations for almost Ricci-harmonic solitons and applications ⋮ Harnack inequalities for a class of heat flows with nonlinear reaction terms ⋮ Logarithmic-Sobolev and multilinear Hölder's inequalities via heat flow monotonicity formulas ⋮ Gradient estimates for a weighted nonlinear parabolic equation and applications ⋮ On the spectrum of the \(p\)-biharmonic operator under the Ricci flow ⋮ On the spectrum of the weighted \(p\)-Laplacian under the Ricci-harmonic flow ⋮ On the entropy formulas and solitons for the Ricci-harmonic flow ⋮ Triviality of bounded solutions and gradient estimates for nonlinear \(f\)-heat equations on complete smooth metric measure spaces ⋮ Sobolev-type inequalities and heat kernel bounds along the geometric flow

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