Well-posedness for the bbm-equation in a quarter plane

Authors

Jerry L. Bona, University of Illinois at ChicagoFollow
Hongqiu Chen, University of MemphisFollow
Chun Hsiung Hsia, National Taiwan University

Abstract

The so-called wave-maker problem for the BBM-equation is studied on the half-line. Improving on earlier results, global well-posedness is established for square-integrable initial data and boundary data that is only assumed to be locally bounded.

Publication Title

Discrete and Continuous Dynamical Systems - Series S

Recommended Citation

Bona, J., Chen, H., & Hsia, C. (2014). Well-posedness for the bbm-equation in a quarter plane. Discrete and Continuous Dynamical Systems - Series S, 7 (6), 1149-1163. https://doi.org/10.3934/dcdss.2014.7.1149