AbstractA gradient-entropy inequality is established for elliptic diffusion semigroups on arbitrary complete Riemannian manifolds. As applications, a global Harnack inequality with power and a heat kernel estimate are derived
AbstractBy studying the local time of reflecting diffusion processes, explicit gradient estimates of...
In this paper, a self-contained proof is given to a well-known Harnack inequality of second order no...
Abstract. In this paper we prove a new monotonicity formula for the heat equation via a generalized ...
AbstractUsing the coupling by parallel translation, along with Girsanov's theorem, a new version of ...
AbstractA gradient-entropy inequality is established for elliptic diffusion semigroups on arbitrary ...
AbstractIn the first part of this paper, we get new Li–Yau type gradient estimates for positive solu...
By using the reflecting diffusion process and a conformal change of metric, a generalized maximum pr...
This paper presents a self-contained account concerning a dimension-free Harnack inequality and its ...
AbstractSome equivalent gradient and Harnack inequalities of a diffusion semigroup are presented for...
AbstractOn a large class of Riemannian manifolds with boundary, some dimension-free Harnack inequali...
Abstract. This paper studies on-diagonal and off-diagonal bounds for symmetric diffusion semi-groups...
By using probabilistic approaches, some uniform gradient estimates are obtained for Dirichlet heat s...
Abstract. Consider the semigroup Pt of an elliptic diffusion; we describe a simple stochastic method...
By studying the local time of reflecting diffusion processes, explicit gradient estimates of the Neu...
By using a coupling method, an explicit log-Harnack inequality with local geometry quantities is est...
AbstractBy studying the local time of reflecting diffusion processes, explicit gradient estimates of...
In this paper, a self-contained proof is given to a well-known Harnack inequality of second order no...
Abstract. In this paper we prove a new monotonicity formula for the heat equation via a generalized ...
AbstractUsing the coupling by parallel translation, along with Girsanov's theorem, a new version of ...
AbstractA gradient-entropy inequality is established for elliptic diffusion semigroups on arbitrary ...
AbstractIn the first part of this paper, we get new Li–Yau type gradient estimates for positive solu...
By using the reflecting diffusion process and a conformal change of metric, a generalized maximum pr...
This paper presents a self-contained account concerning a dimension-free Harnack inequality and its ...
AbstractSome equivalent gradient and Harnack inequalities of a diffusion semigroup are presented for...
AbstractOn a large class of Riemannian manifolds with boundary, some dimension-free Harnack inequali...
Abstract. This paper studies on-diagonal and off-diagonal bounds for symmetric diffusion semi-groups...
By using probabilistic approaches, some uniform gradient estimates are obtained for Dirichlet heat s...
Abstract. Consider the semigroup Pt of an elliptic diffusion; we describe a simple stochastic method...
By studying the local time of reflecting diffusion processes, explicit gradient estimates of the Neu...
By using a coupling method, an explicit log-Harnack inequality with local geometry quantities is est...
AbstractBy studying the local time of reflecting diffusion processes, explicit gradient estimates of...
In this paper, a self-contained proof is given to a well-known Harnack inequality of second order no...
Abstract. In this paper we prove a new monotonicity formula for the heat equation via a generalized ...
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