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Stochastic Burgers equation with polynomial nonlinearity driven by Lévy process
2013
Communications on Stochastic Analysis
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The existence and uniqueness of the global solution is proved for the generalized Stochastic Burgers equation with polynomial nonlinearity on [0, 1] perturbed by a Lévy process. Furthermore, we investigate under which conditions the Markovian semigroup of the solution process has an invariant measure exists. Received 2012-1-31; Communicated by Hui-Hsiung Kuo. 2000 Mathematics Subject Classification. Primary 60H15, 60J75; Secondary 60G51.
doi:10.31390/cosa.7.1.06
fatcat:3fnj4bvtcba4rctqv5ndqqey4y