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.

KdV-type equations in projective Gevrey spaces

Alexandre Arias Junior;Marco Cappiello
2023-01-01

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.
2023
178
110
140
KdV-type equations, projective Gevrey spaces, p-evolution, pseudodifferential operators
Alexandre Arias Junior; Alessia Ascanelli; Marco Cappiello
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1932497
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