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Type: Article
Ott-Sudan-Ostrovskiy equation on a half-line
Abstract:
We consider the initial-boundary value problem for the Ott-Sudan-Ostrovskiy 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.
We consider the initial-boundary value problem for the Ott-Sudan-Ostrovskiy 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.
Keywords: Dissipative nonlinear evolution equation; Large time asymptotics; Fractional derivative
MSC: 35Q53 (35A01 35B40 35R11)
Journal: Journal of Differential Equations
ISSN: 0022-0396
Year: 2011
Volume: 250
Number: 12
Pages: 4262--4288



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