MARTINGALE REPRESENTATION AND LOGARITHMIC-SOBOLEV INEQUALITY FOR THE FRACTIONAL ORNSTEIN-UHLENBECK M

来源 :数学物理学报(英文版) | 被引量 : 0次 | 上传用户:mosalin
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
In this paper,we consider the measure determined by a fractional Ornstein-Uhlenbeck process.For such a measure,we establish an explicit form of the martingale representation theorem and consequently obtain an explicit form of the Logarithmic-Sobolev inequality.To this end,we also present the integration by parts formula for such a measure,which is obtained via its pull back formula and the Bismut method.
其他文献
Global in time weak solutions to the α-model regularization for the three di-mensional Euler-Poisson equations are considered in this paper.We prove the existe
In this paper,we give a characterization for the general complex(α,β)metrics to be strongly convex.As an application,we show that the well-known complex Rande
The aim of this paper is to establish the existence of at least two non-zero homoclinic solutions for a nonlinear Laplacian difference equation without using AmbrosettiRabinowitz type-conditions. The main tools are mountain pass theorem and Palais-Smale c
We are concerned with the nonlinear Schrodinger-Poisson equation{-△u+(V(x)-λ)u+φ(x)u = f(u),(P)-△ φ = u2,limx|→+∞ φ(x)= 0,x∈ R3,where λ is a parameter
In this paper,we consider a class of left invariant Riemannian metrics on Sp(n),which is invariant under the adjoint action of the subgroup Sp(n-3)×Sp(1)×Sp(1
This article proposes a high-order numerical method for a space distributed-order time-fractional diffusion equation.First,we use the mid-point quadrature rule
In this article,we study the exhaustive analysis of nonlinear wave interactions for a 2×2 homogeneous system of quasilinear hyperbolic partial differential equations(PDEs)governing the macroscopic production.We use the hodograph transformation and differe
This paper is concerned with the Fisher-KPP equation with diffusion and non-local delay.Firstly,we establish the global existence and uniform boundedness of sol
设A是含单位元I的C*-代数,Φ:A→A是满射.本文证明Φ强保k-skew 交换性,即*[Φ(A),Φ(B)]k=*[A,B]k,■A,B ∈ A 当且仅当Φ(A)=Φ(I)A,■A ∈ A,其中Φ(I)∈L(A),Φ(I)*=Φ(I),Φ(I)k+1=I,L(A)是 A 的中心.特别地,若L(A)=CI,则Φ:A→A强保k-skew交换性当且仅当Φ(A)=A,■A ∈A或Φ(A)=-A,VA ∈A.若k是偶数,后一种情形不会出现.