Nonlinear Cauchy problem with weakly oscillating initial data

DOI10.1016/S0007-4497(01)01082-XzbMath0983.35039MaRDI QIDQ5939011

Daniel Gourdin, Mustapha Mechab

Publication date: 3 September 2001

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

contraction principleestimate of the life-spanGevrey classesGevrey well-posednesssuper-Kowalevskian structure

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (2)

On the lifespan of solutions to nonlinear Cauchy problems with small analytic data ⋮ Global in time solutions of evolution equations in scales of Banach function spaces in \(\mathbb R^n\)

Cites Work

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• Global solutions of the nonlinear Goursat problem in Gevrey classes
• Global existence for abstract evolution equations of weakly hyperbolic type
• Équations et systèmes non-linéaires, hyperboliques non-stricts
• Nonlinear hyperbolic equations
• On the Lax-Mizohata theorem in the analytic and Gevrey classes

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