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Radius of analyticity and exponential convergence for spectral projections of the generalized KdV equation

✍ Scribed by Magnar Bjørkavåg; Henrik Kalisch

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
782 KB
Volume
15
Category
Article
ISSN
1007-5704

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✦ Synopsis

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In this paper an exponential convergence rate for a spectral projection of the periodic initial-value problem for the generalized KdV equation is proved. Based on this convergence result, a method for determining the radius of analyticity of solutions of the generalized KdV equation is derived. Results from the new method and a similar method are compared.

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