International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 714534, 38 pages
doi:10.1155/2010/714534
Research Article
Benjamin-Ono Equation on a Half-Line
1Department of Mathematics, Graduate School of Science, Osaka University, Osaka, Toyonaka 560-0043, Japan
2Instituto de Matemáticas, UNAM, Campus Morelia, AP 61-3 (Xangari), Morelia, CP 58089 Michoacán, Mexico
Received 18 September 2009; Accepted 28 January 2010
Academic Editor: Michael Tom
Copyright © 2010 Nakao Hayashi and Elena I. Kaikina. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We consider the initial-boundary value problem for Benjamin-Ono
equation on a half-line. We study traditionally important problems of the theory
of nonlinear partial differential equations, such as global in time existence
of solutions to the initial-boundary value problem and the asymptotic behavior
of solutions for large time.