Open Access
2019 Dean-Kawasaki dynamics: ill-posedness vs. triviality
Vitalii Konarovskyi, Tobias Lehmann, Max-K. von Renesse
Electron. Commun. Probab. 24: 1-9 (2019). DOI: 10.1214/19-ECP208


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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Vitalii Konarovskyi. Tobias Lehmann. Max-K. von Renesse. "Dean-Kawasaki dynamics: ill-posedness vs. triviality." Electron. Commun. Probab. 24 1 - 9, 2019.


Received: 18 June 2018; Accepted: 3 January 2019; Published: 2019
First available in Project Euclid: 14 February 2019

zbMATH: 1406.60095
MathSciNet: MR3916340
Digital Object Identifier: 10.1214/19-ECP208

Primary: 43A35 , 60G57 , 60H15 , 82C31

Keywords: Laplace duality , probability generating function , SPDE , viscous Hamilton-Jacobi equation , Wasserstein diffusion

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