A sufficient condition for well-posedness for systems with time-dependent coefficients

DOI10.1215/0023608X-2009-017zbMath1203.35163MaRDI QIDQ983874

Marcello D'Abbicco

Publication date: 13 July 2010

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemhyperbolic systemGevrey well-posed

Mathematics Subject Classification ID

Initial value problems for first-order hyperbolic systems (35L45)

Related Items (1)

Strong hyperbolicity in Gevrey classes

Cites Work

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• Some results on the well-posedness for systems with time dependent coefficients
• Well-posedness of the Cauchy problem in Gevrey classes for some weakly hyperbolic equations of higher order
• Some results on the well-posedness for second order linear equations
• Smoothness of roots of polynomials depending on parameters
• Well-posedness in \(C^\infty\) for some weakly hyperbolic equations
• Well-posedness for hyperbolic higher order operators with finite degeneracy
• On the wellposedness of the Cauchy problem for weakly hyperbolic equations of higher order
• Cauchy problem for hyperbolic systems in Gevrey class. A note on Gevrey indices

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