m-dissipativity of Kolmogorov operators corresponding to Burgers equations with space-time white noise
نویسندگان
چکیده
In this article, we prove that the Kolmogorov operator associated to the Burgers equation driven by a space-time white noise is m-dissipative. This implies several properties on the Kolmogorov equation. This result is obtained thanks to the introduction of a modified Kolmogorov operator. New a priori estimates on the solutions of the Burgers equation and on the invariant measure are obtained. These are crucial in our argument. 2000 Mathematics Subject Classification AMS:
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