International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 714534, 38 pages
doi:10.1155/2010/714534
Benjamin-Ono equation on a half-line
Nakao Hayashi1
and Elena I. Kaikina2
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
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.