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Stochastic Burgers’ equation. (English) Zbl 0824.35112
The authors prove that the stochastic Burger’s equation forced by a cylindrical Wiener process with Dirichlet boundary conditions and the initial condition has a unique global solution. Also the existence of an invariant measure for the corresponding transition semigroup is established.

MSC:
35Q53 KdV equations (Korteweg-de Vries equations)
35R60 PDEs with randomness, stochastic partial differential equations
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