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

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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)

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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].

  • 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:11 Nov 2024 11:35
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/60356
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