Differential Harnack Estimate for A Nonlinear Parabolic Equation under List's Flow

Bingqing Ma

Abstract


In this paper, we prove a differential Harnack inequality for positive solutions of nonlinear parabolic equations of the type \[f_t=\Delta f-f\log f+Sf,\] see (1.9). Here the metric is evolving under the List's flow.

Keywords


Extended Ricci flow; Harnack estimate; Nonlinear parabolic equation

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DOI: http://dx.doi.org/10.26713%2Fcma.v4i1.164

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