Li-Yau Estimates for a Nonlinear Parabolic Equation on Manifolds | Zendy

Xiaorui Zhu | Zendy; Yi Li | Zendy

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Li-Yau Estimates for a Nonlinear Parabolic Equation on Manifolds

Author(s) -

Xiaorui Zhu,

Yi Li

Publication year - 2014

Publication title -

mathematical physics analysis and geometry

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.595

H-Index - 28

eISSN - 1572-9656

pISSN - 1385-0172

DOI - 10.1007/s11040-014-9155-4

Subject(s) - mathematics , bounded function , mathematical analysis , manifold (fluid mechanics) , ricci curvature , curvature , nonlinear system , function (biology) , constant (computer programming) , physics , geometry , mechanical engineering , quantum mechanics , evolutionary biology , computer science , engineering , biology , programming language

In this paper, we derive Li-Yau gradient estimates for the positive solution of a nonlinear parabolic equation , where is a function and , are constants, on a complete manifold (,) with bounded below Ricci curvature. The results generalize classical Li-Yau gradient estimates and some recent works on this direction.

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