AbstractFor any complete manifold with nonnegative Bakry–Emery's Ricci curvature, we prove the gradient estimate of L-harmonic function. As application, we use this gradient estimate to deduce the localized version of the Harnack inequality for L-harmonic operator and some Liouville properties of positive or bounded L-harmonic function
International audienceWe develop connections between Harnack inequalities for the heat flow of diffu...
International audienceWe develop connections between Harnack inequalities for the heat flow of diffu...
In this paper we derive Cheng–Yau, Li–Yau, Hamilton estimates for Riemannian manifolds with Bakry–Em...
AbstractFor any complete manifold with nonnegative Bakry–Emery's Ricci curvature, we prove the gradi...
AbstractWe derive the gradient estimates and Harnack inequalities for positive solutions of nonlinea...
AbstractLet L=Δ−∇ϕ⋅∇ be a symmetric diffusion operator with an invariant measure μ(dx)=e−ϕ(x)dx on a...
peer reviewedIn this paper, we consider the Harnack estimates for a nonlinear parabolic equation un...
AbstractWe establish a one-parameter family of Harnack inequalities connecting the constrained trace...
International audienceWe prove a global Li-Yau inequality for a general Markov semigroup under a cu...
International audienceWe prove a global Li-Yau inequality for a general Markov semigroup under a cu...
International audienceWe prove a global Li-Yau inequality for a general Markov semigroup under a cu...
International audienceWe prove a global Li-Yau inequality for a general Markov semigroup under a cu...
peer reviewedIn this paper we derive Cheng–Yau, Li–Yau, Hamilton estimates for Riemannian manifolds ...
International audienceWe develop connections between Harnack inequalities for the heat flow of diffu...
International audienceWe develop connections between Harnack inequalities for the heat flow of diffu...
International audienceWe develop connections between Harnack inequalities for the heat flow of diffu...
International audienceWe develop connections between Harnack inequalities for the heat flow of diffu...
In this paper we derive Cheng–Yau, Li–Yau, Hamilton estimates for Riemannian manifolds with Bakry–Em...
AbstractFor any complete manifold with nonnegative Bakry–Emery's Ricci curvature, we prove the gradi...
AbstractWe derive the gradient estimates and Harnack inequalities for positive solutions of nonlinea...
AbstractLet L=Δ−∇ϕ⋅∇ be a symmetric diffusion operator with an invariant measure μ(dx)=e−ϕ(x)dx on a...
peer reviewedIn this paper, we consider the Harnack estimates for a nonlinear parabolic equation un...
AbstractWe establish a one-parameter family of Harnack inequalities connecting the constrained trace...
International audienceWe prove a global Li-Yau inequality for a general Markov semigroup under a cu...
International audienceWe prove a global Li-Yau inequality for a general Markov semigroup under a cu...
International audienceWe prove a global Li-Yau inequality for a general Markov semigroup under a cu...
International audienceWe prove a global Li-Yau inequality for a general Markov semigroup under a cu...
peer reviewedIn this paper we derive Cheng–Yau, Li–Yau, Hamilton estimates for Riemannian manifolds ...
International audienceWe develop connections between Harnack inequalities for the heat flow of diffu...
International audienceWe develop connections between Harnack inequalities for the heat flow of diffu...
International audienceWe develop connections between Harnack inequalities for the heat flow of diffu...
International audienceWe develop connections between Harnack inequalities for the heat flow of diffu...
In this paper we derive Cheng–Yau, Li–Yau, Hamilton estimates for Riemannian manifolds with Bakry–Em...
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