For the damped stochastic Burgers equation on R with multiplicative colored noise, the paper proves global well-posedness and existence of an invariant measure under the condition a l^2 < 3k/7.
Brze´ zniak, M
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Invariant measures for stochastic Burgers equation on unbounded domains
For the damped stochastic Burgers equation on R with multiplicative colored noise, the paper proves global well-posedness and existence of an invariant measure under the condition a l^2 < 3k/7.