On weakly hyperbolic operators with non-regular coefficients and finite order degeneration.

DOI10.1016/S0022-247X(03)00164-1zbMath1036.35117MaRDI QIDQ1399403

Ferruccio Colombini, Tamotu Kinoshita, Daniele Del Santo

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

weak hyperbolicityGevrey spacesGevrey well posedness

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Degenerate hyperbolic equations (35L80)

Related Items (3)

On second order weakly hyperbolic equations and the ultradifferentiable classes ⋮ Quasianalytic and nonquasianalytic solutions for a class of weakly hyperbolic Cauchy problems ⋮ On second order weakly hyperbolic equations with oscillating coefficients and regularity loss of the solutions

Cites Work

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• Cauchy problem conditions for hyperbolic operators with characteristics of variable multiplicity for Gevrey classes
• On the wellposedness in the Gevrey classes of the Cauchy problem for weakly hyperbolic equations whose coefficients are Hölder continuous in \(t\) and degenerate in \(t=T\)
• Gevrey-well-posedness for weakly hyperbolic operators with non-regular coefficients.
• The Cauchy problem for strictly hyperbolic operators with non-absolutely continuous coefficients.
• A remark on well-posedness for hyperbolic equations with singular coefficients.
• On the Cauchy problem for finitely degenerate hyperbolic equations of second order

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