KdV-type equations in projective Gevrey classes

KdV-type equations in projective Gevrey classes

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 genera...

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Veröffentlicht in:arXiv.org 2022-12
Hauptverfasser: Alexandre Arias Junior, Ascanelli, Alessia, Cappiello, Marco
Format: Artikel
Sprache:eng
Schlagworte:
Cauchy problems
Mathematical analysis
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Zusammenfassung: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.
ISSN:2331-8422