New Results for the BBM Equation

Authors

  • Hongqiu Chen Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USA

DOI:

https://doi.org/10.4208/jms.v49n2.16.02

Keywords:

BBM equation, local well posedness, global well posedness, quarter plane problem, wave maker problem.

Abstract

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.

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Published

2016-06-02

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Issue

Vol. 49 No. 2 (2016)

Section

Articles

How to Cite

New Results for the BBM Equation. (2016). Journal of Mathematical Study, 49(2), 111-131. https://doi.org/10.4208/jms.v49n2.16.02