Some properties of non-linear fractional stochastic heat equations on bounded domains

Tools

Foondun, Mohammud and Guerngar, Ngartelbaye and Nane, Erkan (2017) Some properties of non-linear fractional stochastic heat equations on bounded domains. Chaos, Solitons and Fractals, 102. pp. 86-93. ISSN 0960-0779 (https://doi.org/10.1016/j.chaos.2017.03.064)

[thumbnail of Foodun-etal-CSF-2017-Some-properties-of-non-linear-fractional-stochastic-heat-equations-on-bounded]
Preview
 Text. Filename: Foodun_etal_CSF_2017_Some_properties_of_non_linear_fractional_stochastic_heat_equations_on_bounded.pdf
Accepted Author Manuscript
License: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 logo
Download (160kB)| Preview

Abstract

Consider the following stochastic partial differential equation,∂tut(x) = Lut(x) + ξσ(ut(x)) ˙F (t, x),where ξ is a positive parameter and σ is a globally Lipschitz continuous function. The stochastic forcing term ˙F (t, x) is white in time but possibly colored in space. The operator L is a non-local operator. We study the behaviour of the solution with respect to the parameter ξ, extending the results in [8] and [11].

ORCID iDs

Foondun, Mohammud ORCID logoORCID: https://orcid.org/0000-0001-7634-916X, Guerngar, Ngartelbaye and Nane, Erkan;
  • Item type:Article
    ID code:60356
    Dates:
    Date
    Event
    1 September 2017
    Published
    20 April 2017
    Published Online
    28 March 2017
    Accepted
    4 May 2016
    Submitted
    Notes:Published by Elsevier Ltd. Mohammud Foondun, Ngartelbaye Guerngar, Erkan Nane, Some properties of non-linear fractional stochastic heat equations on bounded domains, Chaos, Solitons & Fractals, Volume 102, 2017, Pages 86-93, https://doi.org/10.1016/j.chaos.2017.03.064
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:29 Mar 2017 10:49
    Last modified:02 Feb 2025 11:48
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/60356
CORE (COnnecting REpositories)