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Local well-posedness for the periodic higher order KdV type equations

Nonlinear Differential Equations and Applications (2012) 19(6) 677-693
DOI: 10.1007/s00030-011-0147-9
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Abstract

Higher order KdV type equations are the equation replaced by a higher order derivative ∂ x2K+1 for the KdV equation. Recently, the local well-posedness result for these equations on torus have been given by Gorsky and Himonas (Math. Comput. Simul. 80:173-183, 2009). We extend this result by improving a bilinear estimate used in the Fourier restriction norm method. © 2011 Springer Basel AG.

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APA

Hirayama, H. (2012). Local well-posedness for the periodic higher order KdV type equations. Nonlinear Differential Equations and Applications, 19(6), 677–693. https://doi.org/10.1007/s00030-011-0147-9

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