On a global Cauchy-Kowalewski-Nagumo theorem in projective Gevrey space.

DOI10.1016/J.CRMA.2004.09.034zbMath1056.35044OpenAlexW2091432762MaRDI QIDQ1763490

Daniel Gourdin, Todor Gramchev

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.crma.2004.09.034

zbMATH Keywords

contraction principlenon Kowalewskian operatorsPicard successive approximations

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Initial value problems for linear higher-order PDEs (35G10)

Related Items (1)

Global in time solutions of evolution equations in scales of Banach function spaces in \(\mathbb R^n\)

Cites Work

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• The hyperbolic Cauchy problem
• Global solutions of a linear Cauchy problem.
• On a global Cauchy-Kowalewski-Nagumo theorem
• The Cauchy problem in spaces of entire functions

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