Gevrey-well-posedness for weakly hyperbolic operators with non-regular coefficients.

DOI10.1016/S0021-7824(01)01252-1zbMath1037.35037OpenAlexW1994853165MaRDI QIDQ1406905

Ferruccio Colombini, Tamotu Kinoshita, Daniele Del Santo

Publication date: 7 September 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-7824(01)01252-1

zbMATH Keywords

Cauchy problemGevrey class

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial value problems for second-order hyperbolic equations (35L15)

Related Items

On the global controllability of the \(1\)-D Boussinesq equation ⋮ On weakly hyperbolic operators with non-regular coefficients and finite order degeneration. ⋮ On second order weakly hyperbolic equations and the ultradifferentiable classes ⋮ Quasianalytic and nonquasianalytic solutions for a class of weakly hyperbolic Cauchy problems ⋮ The Cauchy problem for nonstrictly second order hyperbolic equations with nonregular coefficients

Cites Work

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• Regularly hyperbolic systems and Gevrey classes
• The Cauchy problem for strictly hyperbolic operators with non-absolutely continuous coefficients.