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Periodic initial-value problem for BBM-equation

✍ Scribed by Hongqiu Chen

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
590 KB
Volume
48
Category
Article
ISSN
0898-1221

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✦ Synopsis

The BBM or regularized long-wave equation

was originally proposed as an alternative to the Korteweg-de Vries equation in describing smallamplitude, long surface wave propagation. Its well-posedness in H 1 (R) and L2 (R) have been studied by many authors. In this paper, I consider the BBM-equation while the initial data Β’ is a periodic function on line R. The result is that if Β’ is Lebesgue measurable and square-integrable within one period interval, then equation (0.1) is globally well posed in time t.

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