Results 141 to 150 of about 393,013 (283)

Gamma convergence of an energy functional related to the fractional Laplacian [PDF]

, 2009
María del Mar González
openalex   +1 more source

Mild solutions to Love-type equations on R^2

Electronic Journal of Differential Equations
In this article, we study a non-local Love problem on unbounded domains where the non-locality in the main equation is interpreted as a fractional Laplacian operator.
Bui Duc Nam, Bui Dai Nghia, Nguyen Anh Tuan   +2 more
doaj  

Singular critical elliptic problems with fractional Laplacian

Electronic Journal of Differential Equations, 2015
In this article, we consider the existence of solutions of the critical problem with a Hardy term for fractional Laplacian $$\displaylines{ (-\Delta)^s u -\mu \frac u{|x|^{2s}}= u^{2^*_s-1} \quad \text{in }\Omega,\cr u>0 \quad \text{in }\Omega, \cr
Xueqiao Wang, Jianfu Yang
doaj  

A finite-volume scheme for fractional diffusion on bounded domains

European Journal of Applied Mathematics
We propose a new fractional Laplacian for bounded domains, expressed as a conservation law and thus particularly suited to finite-volume schemes. Our approach permits the direct prescription of no-flux boundary conditions.
Rafael Bailo, José A. Carrillo, Stefano Fronzoni, David Gómez-Castro   +3 more
doaj   +1 more source

Pitt's inequality and the fractional Laplacian: Sharp error estimates [PDF]

, 2011
William Beckner
openalex   +1 more source

New Results for p-Laplacian Fractional Instantaneous and Noninstantaneous Impulsive Differential Equations

Journal of Function Spaces
The p-Laplacian fractional differential equations have been studied extensively because of their numerous applications in science and engineering.
Wangjin Yao, Huiping Zhang
doaj   +1 more source

What is the fractional Laplacian? A comparative review with new results [PDF]

Journal of Computational Physics, 2018
Anna Lischke, G. Pang, Mamikon A. Gulian, Fangying Song, Christian A. Glusa, Xiaoning Zheng, Zhiping Mao, W. Cai, M. Meerschaert, M. Ainsworth, G. Karniadakis   +10 more
semanticscholar   +1 more source

Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains [PDF]

Journal of Functional Analysis, 2021
Juan Pablo Borthagaray, R. Nochetto
semanticscholar   +1 more source

A variable diffusivity fractional Laplacian

Journal of Mathematical Analysis and Applications
In this paper we analyze the existence, uniqueness and regularity of the solution to the generalized, variable diffusivity, fractional Laplace equation on the unit disk in $\mathbb{R}^{2}$. For $α$ the order of the differential operator, our results show that for the symmetric, positive definite, diffusivity matrix, $K(\mathbf{x})$, satisfying $λ_{m ...
openaire   +3 more sources

Fractional stochastic heat equation with mixed operator and driven by fractional-type noise

AIMS Mathematics
We investigated a novel stochastic fractional partial differential equation (FPDE) characterized by a mixed operator that integrated the standard Laplacian, the fractional Laplacian, and the gradient operator.
Mounir Zili , Eya Zougar , Mohamed Rhaima   +2 more
doaj   +1 more source