Well-posedness of the transport equation by stochastic perturbation

We consider the linear transport equation with a globally Hölder continuous and bounded vector field, with an integrability condition on the divergence. While uniqueness may fail for the deterministic PDE, we prove that a multiplicative stochastic perturbation of Brownian type is enough to render th...

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Veröffentlicht in:	Inventiones mathematicae 2010-04, Vol.180 (1), p.1-53
Hauptverfasser:	Flandoli, F., Gubinelli, M., Priola, E.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of PDEs Mathematics Mathematics and Statistics Probability
Online-Zugang:	Volltext
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