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Type: Article
Mixed initial-boundary value problem for intermediate long-wave equation
Abstract:
We consider the mixed initial-boundary value problem for intermediate long-wave equation on the half-line. We study the several rigorous aspects of this problem including global in time existence of solutions and the asymptotic behavior of solutions for large time. The type of existence results derived here plays a crucial role in the rigorous investigation of integrable equations. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3690049]
We consider the mixed initial-boundary value problem for intermediate long-wave equation on the half-line. We study the several rigorous aspects of this problem including global in time existence of solutions and the asymptotic behavior of solutions for large time. The type of existence results derived here plays a crucial role in the rigorous investigation of integrable equations. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3690049]
Keywords: BENJAMIN-ONO-EQUATION; KORTEWEG-DEVRIES EQUATION; DE-VRIES EQUATION; HALF-LINE; SMOOTHING PROPERTIES; SOBOLEV SPACES; CAUCHY-PROBLEM; ASYMPTOTICS; SCATTERING; FLUIDS
MSC: 35G31 (35A01 35B40)
Journal: Journal of Mathematical Physics
ISSN: 0022-2488
Year: 2012
Volume: 53
Number: 3
Pages: 033701, 22



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