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arXiv · 1807.00266

W^{1,p}-solutions of the transport equation by stochastic perturbation

David A. C. Mollinedo
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Abstract

We consider the stochastic transport equation with a possibly unbounded H\"older continuous vector field. Well-posedness is proved, namely, we show existence, uniqueness and strong stability of W^{1,p}-weak solutions.

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David A. C. Mollinedo. 2018-07-01. W^{1,p}-solutions of the transport equation by stochastic perturbation. https://arxiv.org/abs/1807.00266

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