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PreprintarXiv licencearXiv

The asymptotic stability of the stable solitons of the generalized good Boussinesq equation

  • Junsik Bae
  • Scipio Cuccagna
  • Daniele Del Santo
  • Masaya Maeda
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Abstract

This paper continues the series where we apply a synthesis of the virial inequalities in the tradition of Merle, Martel and their collaborators and of Kato smoothing, to close the virial inequalities. We prove absence of nonzero imaginary eigenvalues for the linearization in unweighted space and asymptotic stability for every velocity (√(p−1))/2<c<1 and every 1<p<5.

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Cite

BibTeXRIS
BibTeX
@misc{bae2026asymptotic,
  title = {{The asymptotic stability of the stable solitons of the generalized good Boussinesq equation}},
  author = {Junsik Bae and Scipio Cuccagna and Daniele Del Santo and Masaya Maeda},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.25939},
  eprint = {2610.25939},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.25939},
}
RIS
TY  - UNPB
TI  - The asymptotic stability of the stable solitons of the generalized good Boussinesq equation
AU  - Junsik Bae
AU  - Scipio Cuccagna
AU  - Daniele Del Santo
AU  - Masaya Maeda
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.25939
UR  - https://arxiv.org/abs/2610.25939
AB  - This paper continues the series where we apply a synthesis of the virial inequalities in the tradition of Merle, Martel and their collaborators and of Kato smoothing, to close the virial inequalities. We prove absence of nonzero imaginary eigenvalues for the linearization in unweighted space and asymptotic stability for every velocity (√(p−1))/2<c<1 and every 1<p<5.
ER  -