The Korteweg-de Vries Equation with Multiplicative Homogeneous Noise
نویسندگان
چکیده
We prove the global existence and uniqueness of solutions both in the energy space and in the space of square integrable functions for a Korteweg-de Vries equation with noise. The noise is multiplicative, white in time, and is the muliplication by the solution of a homogeneous noise in the space variable.
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