An example of the Cauchy problem well posed in any Gevrey class

DOI10.1007/s10231-006-0023-0zbMath1150.35064OpenAlexW2094644497MaRDI QIDQ2460776

Ferruccio Colombini, Tatsuo Nishitani

Publication date: 13 November 2007

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/s10231-006-0023-0

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order hyperbolic equations (35L15) Initial value problems for PDEs with pseudodifferential operators (35S10)

Cites Work

• Cauchy problem for nonstrictly hyperbolic systems in Gevrey classes
• An example of a weakly hyperbolic Cauchy problem not well posed in \(C^\infty\)
• The cauchy problem for weakly hyperbolic equations of second order
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