Well-posedness of the Cauchy problem in Gevrey classes for some weakly hyperbolic equations of higher order

DOI10.1007/BF02786550zbMath1173.35338OpenAlexW1981954324MaRDI QIDQ1034828

Ferruccio Colombini, Haruhisa Ishida

Publication date: 8 November 2009

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02786550

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (2)

On the wellposedness of the Cauchy problem for weakly hyperbolic equations of higher order ⋮ A sufficient condition for well-posedness for systems with time-dependent coefficients

Cites Work

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• The hyperbolic operators with the characteristics vanishing with the different speeds.
• Well-posedness in \(C^\infty\) for some weakly hyperbolic equations
• Équations faiblement hyperboliques du deuxième ordre et classes de fonctions ultradifférentiables
• Some examples of hyperbolic equations without local solvability

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