Nonlinear Goursat problem in Gevrey spaces for generalized Kirchhoff equations

zbMath0869.35027MaRDI QIDQ1354984

Mustapha Mechab, Daniel Gourdin

Publication date: 25 August 1997

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

Gevrey classnonlinear equations with quadratic means

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20)

Related Items (7)

A second-order Cauchy problem in a scale of Banach spaces and application to Kirchhoff equations ⋮ Global solutions of a linear Cauchy problem. ⋮ Fractional derivative estimates in Gevrey spaces, global regularity and decay for solutions to semilinear equations in \(\mathbb R^n\) ⋮ RETRACTED ARTICLE: Global existence and general decay estimates of solutions of the degenerate or non-degenerate Kirchhoff equation with general dissipation ⋮ Nonlinear Cauchy problem with weakly oscillating initial data ⋮ Global analytic solutions of linear problems with shrinking argument. (Solutions analytiques globales de problémes linéaires avec argument absorbant) ⋮ On a global Cauchy-Kowalewski-Nagumo theorem

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