Dimension-free harnack inequality
WebApr 1, 2004 · Then we show that the dimension-free Harnack inequality implies the local logarithmic Sobolev inequality, which is the non-smooth counterpart of the main result contained in [6]. WebJan 13, 2024 · Download PDF Abstract: We study the asymptotic properties of the stochastic Cahn-Hilliard equation with the logarithmic free energy by establishing different dimension-free Harnack inequalities according to various kinds of noises. The main characteristics of this equation are the singularities of the logarithmic free energy at 1 and --1 and the …
Dimension-free harnack inequality
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WebAbstract. 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 where δ>0. As an … Web301 Moved Permanently. nginx
WebThe Harnack inequality is dimension-free if the SDE has a drift which satisfies a one-sided Lipschitz condition; otherwise we still get Harnack-type estimates, but the constants will, in general, depend on the space dimension. Our proof is based on a coupling argument and a regularization argument for the WebApr 1, 2006 · The dimension-free Harnack inequality and uniform heat kernel upper/lower bounds are derived for a class of infinite-dimensional GEM processes, which was introduced in \cite{FW} to simulate the ...
Weba dimension-free Harnack inequality provided fi 2 1 2;1, and it satisfles the log-Harnack inequality for all fi 2 (0;1): Some inflnite-dimensional examples are also presented. Contents 1. Introduction 1 2. Proofs 5 3. Some inflnite-dimensional examples 8 3.1. Stochastic porous medium equation 8 3.2. Singular stochastic semi-linear ... WebDec 12, 2014 · Download PDF Abstract: We prove a global Li-Yau inequality for a general Markov semigroup under a curvature-dimension condition. This inequality is stronger than all classical Li-Yau type inequalities known to us. On a Riemannian manifold, it is equivalent to a new parabolic Harnack inequality, both in negative and positive …
WebAug 28, 2013 · The dimension-free Harnack inequality in the sense of F.-Y. Wang [Probab. Theory Relat. Fields 109, No. 3, 417–424 (1997; Zbl 0887.35012)] is also investigated.
WebDec 19, 2015 · Abstract. Let ( X, d, μ) be a R C D ∗ ( K, N) space with K\in \mathbb {R} and N ∈ [1, ∞ ). We derive the upper and lower bounds of the heat kernel on ( X, d, μ) by applying the parabolic Harnack inequality and the comparison principle, and then sharp bounds for its gradient, which are also sharp in time. For applications, we study the ... tca medikamenteWebThe dimension-free Harnack inequality in the sense of Wang (1997) [14] is also investigated. By constructing a new coupling, the log-Harnack inequality is established for the functional solution of a delay stochastic differential equation with multiplicative noise. As applications, the strong tcam juniperWebJul 16, 2024 · Aim of this short note is to show that a dimension-free Harnack inequality on an infinitesimally Hilbertian metric measure space where the heat semigroup admits an integral representation in terms of a kernel is suffcient to deduce a sharp upper Gaussian estimate for such kernel. As intermediate step, we prove the local logarithmic Sobolev … t+ca metallbau-gmbh süderauWebThis paper presents a dimension-free Harnack type inequality for heat semigroups on manifolds, from which a dimension-free lower bound is obtained for the logarithmic Sobolev constant on compact manifolds and a new criterion is proved for the logarithmic Sobolev inequalities (abbrev. LSI) on noncompact manifolds. As a result, it is shown that LSI … tcam gmbhWebIn mathematics, Harnack's inequality is an inequality relating the values of a positive harmonic function at two points, introduced by A. Harnack ().Harnack's inequality is … tcam fpgaWebAbstract. This paper presents a self-contained account concerning a dimension-free Harnack inequality and its applications. This new type of inequality not only implies … tcam keyWebBy using the local dimension-free Harnack inequality established on incomplete Riemannian manifolds, integrability conditions on the coefficients are presented for SDEs … t camera bags