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Optimal error estimates for Fourier spectral approximation of the generalized KdV equation

✍ Scribed by Zhen-guo Deng; He-ping Ma

Publisher
Springer
Year
2009
Tongue
English
Weight
182 KB
Volume
30
Category
Article
ISSN
0253-4827

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✍ Magnar BjΓΈrkavΓ₯g; Henrik Kalisch πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 782 KB

## a b s t r a c t 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 equat