Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842941 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 11 Pages |
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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Authors
Zoran Grujić, Henrik Kalisch,