Title of article :
Construction of non-analytic solutions
for the generalized KdV equation
Author/Authors :
Jennifer Gorsky، نويسنده , , A. Alexandrou Himonas، نويسنده , , 1، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2005
Abstract :
In both the periodic and non-periodic case we construct non-analytic complex-valued solutions
for the generalized KdV equation with appropriate analytic initial data. Moreover, for the KdV and
mKdV we construct real-valued non-analytic solutions.
2004 Elsevier Inc. All rights reserved.
Keywords :
Generalized KdV , Cauchy problem , Analytic initial data , Non-analytic solutions , Cauchy estimates , KdV , mKdV
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications