Modulus of continuity of the coefficients and (non)quasianalytic solutions in the strictly hyperbolic Cauchy problem

DOI10.1016/J.JMAA.2006.12.019zbMath1132.35053OpenAlexW2050029594MaRDI QIDQ2370771

Ferruccio Colombini, Massimo Cicognani

Publication date: 29 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.12.019

zbMATH Keywords

quasianalytic weight functioncoefficients depending only on timenonquasianalytic space

Mathematics Subject Classification ID

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

Related Items (4)

On second order weakly hyperbolic equations and the ultradifferentiable classes ⋮ Quasianalytic and nonquasianalytic solutions for a class of weakly hyperbolic Cauchy problems ⋮ Critical counterexamples for linear wave equations with time-dependent propagation speed ⋮ Linearization of ultra-differentiable circle flows beyond Brjuno condition

Cites Work

• Cauchy problem for nonstrictly hyperbolic systems in Gevrey classes
• Hyperbolic equations and classes of infinitely differentiable functions
• Ultradifferentiable functions and Fourier analysis
• Hyperbolic operators with non-Lipschitz ceofficients
• On Fourier transforms of measures with compact support
• Équations faiblement hyperboliques du deuxième ordre et classes de fonctions ultradifférentiables
• Some examples of hyperbolic equations without local solvability
• Pseudodifferential operators on non-quasianalytic classes of Beurling type
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