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].
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Item type: Article ID code: 60356 Dates: DateEvent28 March 2017Published28 March 2017Accepted4 May 2016SubmittedKeywords: 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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