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

Authors

  • Bingqing Ma Department of Mathematics, Henan Normal University, Xinxiang 453007

DOI:

https://doi.org/10.26713/cma.v4i1.164

Keywords:

Extended Ricci flow, Harnack estimate, Nonlinear parabolic equation

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.

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Issue

Vol. 4 No. 1 (2013)

Section

Research Article

License

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How to Cite

Ma, B. (2013). Differential Harnack Estimate for A Nonlinear Parabolic Equation under List’s Flow. Communications in Mathematics and Applications, 4(1), 75-83. https://doi.org/10.26713/cma.v4i1.164