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

Jerry L. Bona; Hongqiu Chen; Chun-Hsiung Hsia

doi:10.3934/dcdss.2014.7.1149

Article Contents

2014, Volume 7, Issue 6: 1149-1163. Doi: 10.3934/dcdss.2014.7.1149

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

1.
Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, IL 60607
2.
Department of Mathematical Sciences, University of Memphis, Memphis, Tennessee, 38152
3.
Institute of Applied Mathematical Sciences, National Taiwan University, Taipei

Received: June 30, 2013

Revised: November 30, 2013

Published: November 2014

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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.

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Mathematics Subject Classification: Primary: 35Q35, 35A53, 76B03; Secondary: 35Q51, 35Q86, 76B15.

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