On the relation between decay and regularity of solutions to the modified Korteweg-de Vries equation
Analysis of PDEs
2023-04-25 v1
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.
Keywords
Cite
@article{arxiv.2304.11398,
title = {On the relation between decay and regularity of solutions to the modified Korteweg-de Vries equation},
author = {Alexander Muñoz and Ademir Pastor},
journal= {arXiv preprint arXiv:2304.11398},
year = {2023}
}