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

Mohammud Foondun, Ngartelbaye Guerngar, Erkan Nane

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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].
Original languageEnglish
JournalChaos, Solitons and Fractals
Publication statusAccepted/In press - 28 Mar 2017

Keywords

  • stochastic fractional PDEs
  • large time behavior
  • colored noise

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