Volume 49, Issue 2
New Results for the BBM Equation

Hongqiu Chen

J. Math. Study, 49 (2016), pp. 111-131.

Published online: 2016-07

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  • 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.

  • AMS Subject Headings

35Q53, 76B03, 76B15

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

hchen1@memphis.edu (Hongqiu Chen)

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@Article{JMS-49-111, author = {Chen , Hongqiu}, title = {New Results for the BBM Equation}, journal = {Journal of Mathematical Study}, year = {2016}, volume = {49}, number = {2}, pages = {111--131}, 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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v49n2.16.02}, url = {http://global-sci.org/intro/article_detail/jms/994.html} }
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.

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