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arXiv · 2610.41549

The virial--Kato method and the asymptotic stability of solitons of the generalized Benjamin, Bona and Mahony equation

Scipio Cuccagna·Daniele Del Santo·Masaya Maeda
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Abstract

We apply to the generalized pure power Benjamin, Bona and Mahony equation our method of combining high energy virial estimates with Kato smoothing, which closes the virial estimates in a natural way and allows us to prove a result of asymptotic stability for all the stable solitons with $c>1$ for all the exponents $p>1$.

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Scipio Cuccagna, Daniele Del Santo, Masaya Maeda. 2026-10-30. The virial--Kato method and the asymptotic stability of solitons of the generalized Benjamin, Bona and Mahony equation. https://arxiv.org/abs/2610.41549

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