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

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. ISSN 0960-0779 (In Press)

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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
    28 March 2017
    Published
    28 March 2017
    Accepted
    4 May 2016
    Submitted
    Keywords:stochastic fractional PDEs, large time behavior, colored noise, Mathematics, Mathematics(all)
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:29 Mar 2017 10:49
    Last modified:10 Aug 2023 21:44
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/60356
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