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arXiv · 2304.11398

On the relation between decay and regularity of solutions to the modified Korteweg-de Vries equation

Alexander Muñoz·Ademir Pastor
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Abstract

This work is devoted to study the relation between the regularity index and the decay for solutions of the modified Korteweg-de Vries equation in weighted Sobolev spaces. We show if a solution belongs to a Sobolev space and has a large polynomial decay, compared to the regularity, then actually it is more regular than initially considered.

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Alexander Muñoz, Ademir Pastor. 2023-04-22. On the relation between decay and regularity of solutions to the modified Korteweg-de Vries equation. https://arxiv.org/abs/2304.11398

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