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Type: Article
Dirichlet problem for intermediate long-wave equation
Abstract:
We consider the initial-boundary-value problem for the intermediate long-wave (ILW) 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 intermediate long-wave (ILW) 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: BENJAMIN-ONO-EQUATION; KORTEWEG-DEVRIES EQUATION; DE-VRIES EQUATION; SMOOTHING PROPERTIES; SOBOLEV SPACES; CAUCHY-PROBLEM; ASYMPTOTICS; SCATTERING
MSC: 35Q53 (35A01 35B35 35B40)
Journal: Differential Integral Equations
ISSN: 0893-4983
Year: 2011
Volume: 24
Number: 11-12
Pages: 1163--1192
Created: 2012-12-05 11:33:25
Modified: 2018-03-01 12:33:38
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