March 29, 2024Open Access

On the Sobolev boundedness of vector fields on compact Riemannian manifolds

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Abstract

We analyse the sharpness of the Sobolev order for vector fields on compact Riemannian manifolds. As an application, we then prove ill-posedness for a certain class of Cauchy problems.

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Cardona et al. (Fri,) studied this question.

synapsesocial.com/papers/68e71db5b6db643587697872 https://doi.org/https://doi.org/10.48550/arxiv.2404.00182

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