Extended decay properties for generalized BBM equations
Analysis of PDEs
2018-09-11 v3 Mathematical Physics
math.MP
Abstract
In this note we show that all small solutions of the BBM equation must decay to zero as in large portions of the physical space, extending previous known results, and only assuming data in the energy space. Our results also include decay on the left portion of the physical line, unlike the standard KdV dynamics.
Keywords
Cite
@article{arxiv.1802.01925,
title = {Extended decay properties for generalized BBM equations},
author = {Chulkwang Kwak and Claudio Muñoz},
journal= {arXiv preprint arXiv:1802.01925},
year = {2018}
}
Comments
9 pp., We found a small error in the proof and corrected