TY - JOUR T1 - New Results for the BBM Equation AU - Chen , Hongqiu JO - Journal of Mathematical Study VL - 2 SP - 111 EP - 131 PY - 2016 DA - 2016/07 SN - 49 DO - http://doi.org/10.4208/jms.v49n2.16.02 UR - https://global-sci.org/intro/article_detail/jms/994.html KW - BBM equation, local well posedness, global well posedness, quarter plane problem, wave maker problem. AB -
The BBM equation posed on $\mathbb{R}$ and $\mathbb{R}^+$ is revisited. Improving on earlier results, global well-posedness and bounds for the growth in time of relevant norms of solutions corresponding to very general auxiliary data are derived.