Priola E., Zabczyk J.: Liouville theorems for non-local operators. J. Funct. Anal. 216 (2), 455–490 (2004)Priola, E., Zabczyk, J. (2004) Liouville theorems for non-local operators. J Funct Anal 216: pp. 455-490Priola, E., Zabczyk, J.: Liouville theorems for non-local ...
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...
We establish the existence and uniqueness of the fundamental solution q~b(t, x, y) to a class of (typically non-symmetric) non-local operators C~b = Δ~(a/2) + S~b, where and b(x, z) is a bounded measurable function on R~d × R~d with b(x, z) = b(x,-z) for x, ...
Summary: We propose the use of nonlocal operators to define new types of flows and functionals for image processing and elsewhere. A main advantage over classical PDE-based algorithms is the ability to handle better textures and repetitive structures. This topic can be viewed as an extension of...
Hierarchical H2-matrices are asymptotically optimal representations for the discretizations of non-local operators such as those arising in integral equations or from kernel functions. Their O(N) complexity in both memory and operator application makes them particularly suited for large-scale problems. As...
Gilboa G, Osher S. Nonlocal Operators with Applications to Image Processing[J]. Siam Journal on ...
We give a short introduction to methods for the data-sparse approximation of matrices resulting from the discretisation of non-local operators occurring in... S B?Rm,L Grasedyck,W Hackbusch - 《Engineering Analysis with Boundary Elements》 被引量: 505发表: 2003年 Efficient numerical methods for...
We consider the semilinear Cauchy problem for a class of pseudo-differential operators generating sub-Markovian semigroups. Solutions of such problems with negative definite nonlinearity play an important role in constructing branching measure-valued processes. We establish local existence and uniqueness of...
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 ...
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....