The existence of solution for a stochastic fourth-order parabolic equation

The authors consider stochastic equations of the prototype d u + ( γ D^4 u − γ D² f ′ ( u ) + D²u − f ′ ( u ) ) d t − d w = 0 ; where γ 0 is a constant and w is a Q -Wiener process in a probability space ( Ω ; F ; P ) . We establish the global existence and uniqueness of the solution for this prototype in one dimension space. The random attractor is also discussed.