A Note on Li-Yau-Type Gradient Estimate
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DOI: 10.1007/s10473-019-0420-2
Abstract: In this article, we obtain Li-Yau-type gradient estimates with time dependent parameter for positive solutions of the heat equation that are different with the estimates by Li-Xu [21] and Qian [23]. As an application of… read more here.
Keywords: type gradient; yau type; gradient estimate; note yau ... See more keywords
Harnack inequality and gradient estimate for G-SDEs with degenerate noise
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DOI: 10.1007/s11425-020-1784-0
Abstract: In this paper, the Harnack inequalities for $G$-SDEs with degenerate noise are derived by method of coupling by change of measure. Moreover, the gradient estimate for the associated nonlinear semigroup $\bar{P}_t$ $$|\nabla \bar{P}_t f|\leq c(p,t)(\bar{P}_t… read more here.
Keywords: degenerate noise; gradient estimate; sdes degenerate; harnack inequality ... See more keywords
Gradient estimate of positive eigenfunctions of sub-Laplacian on complete pseudo-Hermitian manifolds
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DOI: 10.1016/j.geomphys.2019.103577
Abstract: Abstract In this paper, we derive an explicit gradient estimate of positive solutions of Δ b u = − λ u on complete noncompact pseudo-Hermitian manifolds with bounded geometric conditions. As a consequence, we obtain… read more here.
Keywords: pseudo; pseudo hermitian; gradient estimate; hermitian manifolds ... See more keywords
Gradient estimate for fast diffusion equations on Riemannian manifolds
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DOI: 10.1016/j.jmaa.2018.11.080
Abstract: Abstract In this paper, we derive a Hamilton–Souplet–Zhang type gradient estimate for fast diffusion equations on Riemannian manifolds. As its application, we obtain a Liouville type theorem. read more here.
Keywords: gradient estimate; equations riemannian; estimate fast; riemannian manifolds ... See more keywords
The interior gradient estimate of prescribed Hessian quotient curvature equation in the hyperbolic space
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DOI: 10.3934/cpaa.2021012
Abstract: In this paper, we obtain the interior gradient estimate of the Hessian quotient curvature equation in the hyperbolic space. The method depends on the maximum principle. read more here.
Keywords: quotient curvature; interior gradient; gradient estimate; curvature equation ... See more keywords