Hyperbolic equations and classes of infinitely differentiable functions

DOI10.1007/BF01769215zbMath0609.35049OpenAlexW1996007351MaRDI QIDQ1086746

Ferruccio Colombini, Sergio Spagnolo, Enrico Jannelli

Publication date: 1986

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01769215

zbMATH Keywords

Cauchy problemsolvabilityinfinitely differentiable functionswell-posedMandelbrojt classes

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Analyticity in context of PDEs (35A20) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (2)

Modulus of continuity of the coefficients and (non)quasianalytic solutions in the strictly hyperbolic Cauchy problem ⋮ Quasianalytic and nonquasianalytic solutions for a class of weakly hyperbolic Cauchy problems

Cites Work

• An example of a weakly hyperbolic Cauchy problem not well posed in \(C^\infty\)
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