Stochastic Burgers solutions with additive trace class noise are shown to exist uniquely in Sobolev spaces H^gamma for all gamma < min{1, 1/2+beta}.
Ergodic properties of fractional stochastic Burgers equation
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Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise
Stochastic Burgers solutions with additive trace class noise are shown to exist uniquely in Sobolev spaces H^gamma for all gamma < min{1, 1/2+beta}.