On Local Energy decay for solution of the Benjamin-Ono equation
Analysis of PDEs
2022-04-28 v1
Abstract
We consider the long time dynamics of large solutions to the Benjamin-Ono equation. Using virial techniques, we describe regions of space where every solution in a suitable Sobolev space must decay to zero along sequences of times. Moreover, in the case of exterior regions, we prove complete decay for any sequence of times. The remaining regions not treated here are essentially the strong dispersion and soliton regions.
Keywords
Cite
@article{arxiv.2204.12669,
title = {On Local Energy decay for solution of the Benjamin-Ono equation},
author = {Ricardo Freire and Felipe Linares and Claudio Muñoz and Gustavo Ponce},
journal= {arXiv preprint arXiv:2204.12669},
year = {2022}
}
Comments
25 pages