• 제목/요약/키워드: Weighted doubly nonlinear diffusion equations

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PERELMAN TYPE ENTROPY FORMULAE AND DIFFERENTIAL HARNACK ESTIMATES FOR WEIGHTED DOUBLY NONLINEAR DIFFUSION EQUATIONS UNDER CURVATURE DIMENSION CONDITION

  • Wang, Yu-Zhao
    • 대한수학회보
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    • 제58권6호
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    • pp.1539-1561
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    • 2021

  • We prove Perelman type 𝒲-entropy formulae and differential Harnack estimates for positive solutions to weighed doubly nonlinear diffusion equation on weighted Riemannian manifolds with CD(-K, m) condition for some K ≥ 0 and m ≥ n, which are also new for the non-weighted case. As applications, we derive some Harnack inequalities.

  • https://doi.org/10.4134/BKMS.b210087 인용 PDF KSCI