KdV-type equations in projective Gevrey classes

2022/12/20 by Alessia Ascanelli, Junior, Alexandre Arias, Marco Cappiello +2
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #advanced mathematical theories #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2212.10530

Abstract

We prove well-posedness of the Cauchy problem for a class of third order quasilinear evolution equations with variable coefficients in projective Gevrey spaces. The class considered is connected with several equations in Mathematical Physics as the KdV and KdVB equation and some of their many generalizations.

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