TY - JOUR
T1 - Some properties of non-linear fractional stochastic heat equations on bounded domains
AU - Foondun, Mohammud
AU - Guerngar, Ngartelbaye
AU - Nane, Erkan
N1 - 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
PY - 2017/9/1
Y1 - 2017/9/1
N2 - 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].
AB - 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].
KW - stochastic fractional PDEs
KW - large time behavior
KW - colored noise
UR - http://www.sciencedirect.com/science/journal/09600779/99
U2 - 10.1016/j.chaos.2017.03.064
DO - 10.1016/j.chaos.2017.03.064
M3 - Article
SN - 0960-0779
VL - 102
SP - 86
EP - 93
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
ER -