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Dean-kawasaki dynamics: Ill-posedness vs. triviality

Electronic Communications in Probability (2019) 24
DOI: 10.1214/19-ECP208
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Abstract

We prove that the Dean-Kawasaki SPDE admits a solution only in integer parameter regimes, in which case the solution is given in terms of a system of non-interacting particles.

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Konarovskyi, V., Lehmann, T., & von Renesse, M. K. (2019). Dean-kawasaki dynamics: Ill-posedness vs. triviality. Electronic Communications in Probability, 24. https://doi.org/10.1214/19-ECP208

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