On a global Cauchy-Kowalewski-Nagumo theorem

DOI10.1016/S1631-073X(02)02272-0zbMath1115.35010OpenAlexW2072340363MaRDI QIDQ1600187

Mustapha Mechab, Daniel Gourdin

Publication date: 12 June 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02272-0

Mathematics Subject Classification ID

Cauchy-Kovalevskaya theorems (35A10)

Related Items (3)

Global solutions of a linear Cauchy problem. ⋮ Global in time solutions of evolution equations in scales of Banach function spaces in \(\mathbb R^n\) ⋮ On a global Cauchy-Kowalewski-Nagumo theorem in projective Gevrey space.

Cites Work

• On hyperbolic equations with analytic coefficients with respect to the spatial variables
• Le problème de Goursat non linéaire
• Nonlinear Goursat problem in Gevrey spaces for generalized Kirchhoff equations
• Global solutions of the nonlinear Goursat problem in Gevrey classes
• The Cauchy problem in spaces of entire functions
• Diagonalisation des systèmes quasilinéaires et hyperbolicité non stricte

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