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| In this article, we are concerned with a class of stochastic Burgers equations driven by fractional-colorednoise which is fractional in time, with Hurst parameter h∈(1/2,1), and colored in space, with spatial covariance function. We introduce a fractional-colored noise when the spatial covariance function is heat kernel, and give the definition of the solution of the equation. We give the existence and uniqueness of local solution and use some uniformly estimates to show the existence and uniqueness of global solution. |
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| Keywords:Probability theory; Stochastic Burgers equations; Fractional-colored noise |
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