Abstract
We consider the stochastic transport equation with a possibly unbounded Hölder continuous vector field. Well-posedness is proved, namely, we show existence, uniqueness and strong stability of $W^{1,p}$-weak solutions.
Citation
David A. C. Mollinedo. "$W^{1,p}$-Solutions of the transport equation by stochastic perturbation." Braz. J. Probab. Stat. 34 (1) 188 - 201, February 2020. https://doi.org/10.1214/18-BJPS408
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