$z\\in\\mathbb{R}^d$, then $q^b(t, x, y)$ is a strictly positive\ncontinuous function and it uniquely determines a conservative Feller process\n$X^b$, which has strong Feller property. Furthermore, sharp two-sided estimates\non $q^b(t, x, y)$ are derived.Jie-Ming Wang...
While much information is available and research currently further continues on spectral problems related to the Laplace operator, much less is known about the similar problem for non-local operators such as the fractional Laplacian and related operators, which provide a context in which the classical...
This article sets forth results on the existence, non-existence, uniqueness, and regularities properties, as well as boundary behavior of solutions for singular systems involving mixed local and non-local elliptic operators (see System (S) below). More precisely, we first establish a new weak com...
Intrinsic scaling properties for nonlocal operators 下载积分: 900 内容提示: arXiv:1310.5371v2 [math.AP] 19 Nov 2013INTRINSIC SCALING PROPERTIES FOR NONLOCAL OPERATORSMORITZ KASSMANN AND ANTE MIMICAAbstract. We study growth lemmas and questions of regularity for generators of Markovprocesses. The ...
We provide a one-to-one correspondence between line operators and states in four-dimensional CFTs with continuous 1-form symmetries. In analogy with 0-form
In the past few years much attention has been drawn to the study of nonlocal reaction–diffusion equations where such type of nonlocal operators is used to model some long range effects. In this context, the nonlocal operator often takes the form (1.2)≔D[u]≔∫ΩK(x,y)u(y)dy−...
K. Bogdan, B. Dyda, T. Luks, On Hardy spaces of local and nonlocal operators, Hiroshima Math. J. 44 (2014), no. 2, 193-215.K. Bogdan, B. Dyda, and T. Luks. On Hardy spaces of local and nonlocal operators. Hiroshima Math. J., 44(2):193-215, 2014....
英['nɒn'ləʊkəl] 美['nɒn'loʊkəl] 是什么意思 adj. 非局部的,非本地的;外地; 学习怎么用 权威例句 Nonlocal Damage Theory A Nonlocal Algorithm for Image Denoising Nonlocal Operators with Applications to Image Processing ...
Kernel Theories of Gravity (IKGs), inspired by quantum corrections obtained in QFT on curved spacetime. In IKGs, the Lagrangian is extended by adding transcendental functions of the fields (R,T,G, etc.), which can be always represented by the integral kernels of differential operators, such ...
Jump Processes and Nonlocal Operators|275Definition 7.1.1.LetpΩ,F,Pqbe a probability space.(i) A measurable mapX:ΩÑRdis called random variable. Measurable subsetsEPFare sometimes called events. GivenAPBpRdq, we writepXPAqinsteadoftωPΩ|Xpωq PAuorX ́1pAq. Thus,PpXPAqdenotes ...