A FRACTIONAL POISSON EQUATION: EXISTENCE, REGULARITY AND APPROXIMATIONS OF THE SOLUTION

DOI10.1142/S0219493709002762zbMath1194.60041arXiv0804.1108OpenAlexW2163607704MaRDI QIDQ3405582

Iván Torrecilla, Marta Sanz-Solé

Publication date: 10 February 2010

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1108

zbMATH Keywords

rate of convergencestochastic partial differential equationsfractional Brownian field

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

Related Items (6)

Elliptic stochastic partial differential equations with two reflecting walls ⋮ A stochastic fractional Laplace equation driven by colored noise on bounded domain, and its covariance functional ⋮ Local fractional variational iteration method for local fractional Poisson equations in two independent variables ⋮ Pathwise definition of second-order SDEs ⋮ Schrödinger equation with Gaussian potential ⋮ Optimal strong convergence of finite element methods for one-dimensional stochastic elliptic equations with fractional noise

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