On the Sobolev boundedness of vector fields on compact Riemannian manifolds

Duván Cardona,Alexandre Kirilov, Wagner A. A. de Moraes, André Pedroso Kowacs

arxiv（2024）

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摘要

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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