AbstractWe use a coupling method to give gradient estimates for solutions to (12 Δ + Z)u = 0 on a manifold. The size of the gradient depends on a lower bound on the Ricci curvature of the manifold and bounds on the vector field Z
In this article, exponential contraction in Wasserstein distance for heat semigroups of diffusion pr...
This thesis contains two main results: a Li-Yau type gradient estimate 3.3.1, anda Zhong-Yang type e...
AbstractThe paper considers a manifold M evolving under the Ricci flow and establishes a series of g...
AbstractWe use a coupling method to give gradient estimates for solutions to (12 Δ + Z)u = 0 on a ma...
In this paper we study $W^{1,p}$ global regularity estimates for solutions of $\Delta u = f$ on Riem...
In this paper, we use Nash-Moser iteration method to study the local and global behaviours of positi...
AbstractDerivative formulae for heat semigroups are used to give gradient estimates for harmonic fun...
In this paper we derive Cheng–Yau, Li–Yau, Hamilton estimates for Riemannian manifolds with Bakry–Em...
We prove a local volume noncollapsing estimate for K\"ahler metrics induced from a family of complex...
This article studies a nonlinear parabolic equation on a complete weighted manifold where the metric...
We revisit the problem of obtaining uniform gradient estimates for Dirichlet and Neumann heat semigr...
A coupling method and an analytic one allow us to prove new lower bounds for the spectral gap of rev...
AbstractIn this paper, we study the local gradient estimate for the positive solution to the followi...
In this article, new curvature conditions are introduced to establish functional inequalities includ...
In this paper we give an explicit bound of Δ_g(t)u(t)and the local curvature estimates for the Ricci...
In this article, exponential contraction in Wasserstein distance for heat semigroups of diffusion pr...
This thesis contains two main results: a Li-Yau type gradient estimate 3.3.1, anda Zhong-Yang type e...
AbstractThe paper considers a manifold M evolving under the Ricci flow and establishes a series of g...
AbstractWe use a coupling method to give gradient estimates for solutions to (12 Δ + Z)u = 0 on a ma...
In this paper we study $W^{1,p}$ global regularity estimates for solutions of $\Delta u = f$ on Riem...
In this paper, we use Nash-Moser iteration method to study the local and global behaviours of positi...
AbstractDerivative formulae for heat semigroups are used to give gradient estimates for harmonic fun...
In this paper we derive Cheng–Yau, Li–Yau, Hamilton estimates for Riemannian manifolds with Bakry–Em...
We prove a local volume noncollapsing estimate for K\"ahler metrics induced from a family of complex...
This article studies a nonlinear parabolic equation on a complete weighted manifold where the metric...
We revisit the problem of obtaining uniform gradient estimates for Dirichlet and Neumann heat semigr...
A coupling method and an analytic one allow us to prove new lower bounds for the spectral gap of rev...
AbstractIn this paper, we study the local gradient estimate for the positive solution to the followi...
In this article, new curvature conditions are introduced to establish functional inequalities includ...
In this paper we give an explicit bound of Δ_g(t)u(t)and the local curvature estimates for the Ricci...
In this article, exponential contraction in Wasserstein distance for heat semigroups of diffusion pr...
This thesis contains two main results: a Li-Yau type gradient estimate 3.3.1, anda Zhong-Yang type e...
AbstractThe paper considers a manifold M evolving under the Ricci flow and establishes a series of g...
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