Article ID Journal Published Year Pages File Type
842941 Nonlinear Analysis: Theory, Methods & Applications 2009 11 Pages PDF
Abstract

Local well posedness for a class of higher-order nonlinear dispersive partial differential equations is obtained in spaces of functions analytic on a strip around the real axis. The proof relies on estimates in space–time norms adapted to the linear part of the equation. The class of equations in view contains a number of equations arising in the modeling of waves in fluids and also in other applications.

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Physical Sciences and Engineering Engineering Engineering (General)
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