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搜索结果: 1-15 共查到理学 Harnack相关记录23条 . 查询时间(0.078 秒)
简要介绍概率论中的耦合方法及其在基础数学中的应用。引入新的变测度耦合,以简单的随机微分方程为例,将其应用于建立无穷维Harnack不等式、Bisnut导数公式和分布积分公式。
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators.
Let M be a complete non-compact Riemannian manifold. For p ∈ (1,+∞), let Δp be the p-Laplace operator on M. One says that M is p-hyperbolic if there exists a Green function for Δp (see [Ho1,2]); oth...
Let M be a cg-connected manifold. Let L be a second-order differential operator with real cg(R) coefficients on M and such that L1 0 (i.e., L has no zero-order term). Assume that there exists a posi...
Let (M, g(t)) be a solution to the Ricci flow on a closed Riemannian manifold. In this paper, we prove differential Harnack inequalities for positive solutions of nonlinear parabolic equ...
In this paper, we prove a differential Harnack inequality for positive solutions of time-dependent heat equations with potentials. We also prove a gradient estimate for the positive solution o...
In this paper, we derive a general evolution formula for possible Harnack quantities. As a consequence, we prove several differential Harnack inequalities for positive solutions of backward hea...
We consider an elliptic equation with a divergence-free drift b. We prove that an inequality of Harnack type holds under the assumption b ∈ Ln/2+δ ∩ L2 where δ > 0. As an application we provide a one ...
We establish the Harnack inequality for advection-diffusion equations with divergencefree drifts of low regularity.While our previous work [IKR] considered the elliptic case, here we treat the more ch...
An Application of Harnack Inequalitise to Random Walk on Nilpotent Quotients。
Adolf von Harnack und Max Planck.
利用C.M.Guenther处理热方程的方法证明了,度量沿Ricci流演化的闭流形上薛定谔方程正解的梯度估计和Harnack不等式,从而推广了有关结论.
In this paper we prove an invariant Harnack inequality on Carnot-Carath\'eodory balls for fractional powers of sub-Laplacians in Carnot groups. The proof relies on an "abstract" formulation of a techn...
By constructing a coupling in two steps and using the Girsanov theorem under a regular conditional probability, the log-Harnack inequality is established for a large class of Gruschin type semigroups ...

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