Results 21 to 30 of about 280,466 (259)
Fractional Laplacian pyramids [PDF]
2009 16th IEEE International Conference on Image Processing (ICIP), 2009 We provide an extension of the L2-spline pyramid (Unser et al., 1993) using polyharmonic splines. We analytically prove that the corresponding error pyramid behaves exactly as a multi-scale Laplace operator. We use the multiresolution properties of polyharmonic splines to derive an efficient, non-separable filterbank implementation.
Ricard Delgado-Gonzalo +2 more
openaire +2 more sources
The Fractional Laplacian with Reflections
Potential Analysis, 2023 AbstractMotivated by the notion of isotropic $$\alpha $$ α -stable Lévy processes confined, by reflections, to a bounded open Lipschitz set $$D\subset \mathbb {R}^d$$ D ⊂ R
Bogdan, Krzysztof, Kunze, Markus
openaire +2 more sources
Asymmetric critical fractional p-Laplacian problems
Electronic Journal of Differential Equations, 2017 We consider the asymmetric critical fractional p-Laplacian problem $$\displaylines{ (-\Delta)^s_p u = \lambda |u|^{p-2} u + u^{p^\ast_s - 1}_+,\quad \text{in } \Omega;\cr u = 0, \quad \text{in } \mathbb{R}^N\setminus\Omega; }$$ where $\lambda>0 ...
Li Huang, Yang Yang
doaj +1 more source
A Generalized Fractional Laplacian
, 2023 In this article we show that the fractional Laplacian in $R^{2}$ can be factored into a product of the divergence operator, a Riesz potential operator, and the gradient operator. Using this factored form we introduce a generalization of the fractional Laplacian, involving a matrix $K(x)$, suitable when the fractional Laplacian is applied in a non ...
Zheng, Xiangcheng +2 more
openaire +2 more sources
Fractional Laplacian in bounded domains [PDF]
Physical Review E, 2007 11 pages, 11 ...
Zoia, A., Rosso, A., Kardar, M.
openaire +4 more sources
Monotone iterative technique for time-space fractional diffusion equations involving delay
Nonlinear Analysis, 2021 This paper considers the initial boundary value problem for the time-space fractional delayed diffusion equation with fractional Laplacian. By using the semigroup theory of operators and the monotone iterative technique, the existence and uniqueness of ...
Qiang Li, Guotao Wang, Mei Wei
doaj +1 more source
Fractional Laplacians : A short survey
Discrete and Continuous Dynamical Systems - S, 2022 The authors give an overview of the different operators which extend the Laplacian one to the fractional derivatives context. They concentrate on their very definitions and basic properties, stressing on some differences among them and the classical Laplacian, also by making use of explicit examples.
Daoud, Maha, Laamri, El Haj
openaire +2 more sources
Diffusive representations for fractional Laplacian: systems theory framework and numerical issues [PDF]
, 2009 Bridging the gap between an abstract definition of pseudo-differential operators, such as (-\Delta)^{\gamma} for - 1/2 < \gamma < 1/2, and a concrete way to represent them has proved difficult; deriving stable numerical schemes for such operators is not ...
Matignon, Denis, D Matignon
core +1 more source
Communications in Partial Differential Equations, 2014 We compare two natural types of fractional Laplacians $(-Δ)^s$, "Navier" and "Dirichlet" ones.
MUSINA, Roberta, Nazarov A. I.
openaire +3 more sources
On the fractional p-Laplacian problems [PDF]
Journal of Inequalities and Applications, 2021 AbstractThis paper deals with nonlocal fractionalp-Laplacian problems with difference. We get a theorem which shows existence of a sequence of weak solutions for a family of nonlocal fractionalp-Laplacian problems with difference. We first show that there exists a sequence of weak solutions for these problems on the finite-dimensional subspace. We next
Q-Heung Choi, Tacksun Jung
openaire +2 more sources