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Non-uniqueness for the Transport Equation with Sobolev Vector Fields

Annals of PDE (2018) 4(2)
DOI: 10.1007/s40818-018-0056-x
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Abstract

We construct a large class of examples of non-uniqueness for the linear transport equation and the transport-diffusion equation with divergence-free vector fields in Sobolev spaces W1,p.

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Modena, S., & Székelyhidi, L. (2018). Non-uniqueness for the Transport Equation with Sobolev Vector Fields. Annals of PDE, 4(2). https://doi.org/10.1007/s40818-018-0056-x

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