Interpolating between Li-Yau and Chow-Hamilton Harnack inequalities along the Yamabe flow

نویسندگان

  • Chang-Jun Li
  • Xiang Gao
چکیده

In this paper, we establish a one-parameter family of Harnack inequalities connecting the constrained trace Li-Yau differential Harnack inequality to the constrained trace Chow-Hamilton Harnack inequality for a nonlinear parabolic equation with respect to evolving metrics related to the Yamabe flow on the n-dimensional complete manifold. M.S.C. 2010: 53C44, 53C25.

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تاریخ انتشار 2014