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Abstract
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Abstract and Applied Analysis
Volume 2004 (2004), Issue 6, Pages 453-460
doi:10.1155/S1085337504303076

Nonanalytic solutions of the KdV equation

Peter Byers and A.Alexandrou Himonas

Department of Mathematics, University of Notre Dame, Notre Dame 46556-4618, IN, USA

Abstract

We construct nonanalytic solutions to the initial value problem for the KdV equation with analytic initial data in both the periodic and the nonperiodic cases.