Nonanalytic solutions of the KdV equation

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.

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Main Authors: Peter Byers, A. Alexandrou Himonas
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337504303076
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author Peter Byers
A. Alexandrou Himonas
author_facet Peter Byers
A. Alexandrou Himonas
author_sort Peter Byers
collection DOAJ
description 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.
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2004-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-10b518e36fbd4950b620f23fd1a194592025-02-03T05:58:27ZengWileyAbstract and Applied Analysis1085-33751687-04092004-01-012004645346010.1155/S1085337504303076Nonanalytic solutions of the KdV equationPeter Byers0A. Alexandrou Himonas1Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556-4618, USADepartment of Mathematics, University of Notre Dame, Notre Dame, IN 46556-4618, USAWe construct nonanalytic solutions to the initial value problem for the KdV equation with analytic initial data in both the periodic and the nonperiodic cases.http://dx.doi.org/10.1155/S1085337504303076
spellingShingle Peter Byers
A. Alexandrou Himonas
Nonanalytic solutions of the KdV equation
Abstract and Applied Analysis
title Nonanalytic solutions of the KdV equation
title_full Nonanalytic solutions of the KdV equation
title_fullStr Nonanalytic solutions of the KdV equation
title_full_unstemmed Nonanalytic solutions of the KdV equation
title_short Nonanalytic solutions of the KdV equation
title_sort nonanalytic solutions of the kdv equation
url http://dx.doi.org/10.1155/S1085337504303076
work_keys_str_mv AT peterbyers nonanalyticsolutionsofthekdvequation
AT aalexandrouhimonas nonanalyticsolutionsofthekdvequation