On a sharp Levi condition in Gevrey classes for some infinitely degenerate hyperbolic equations and its necessity

DOI10.2977/PRIMS/1145476338zbMath1028.35089OpenAlexW2017415355MaRDI QIDQ1848497

Haruhisa Ishida, Karen Yagdjian

Publication date: 26 January 2004

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1145476338

zbMATH Keywords

Cauchy problemwell-posednessGevrey classsecond-order linear weakly hyperbolic operator

Mathematics Subject Classification ID

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

Related Items (5)

Finite-time degeneration of hyperbolicity without blowup for quasilinear wave equations ⋮ A generalized Levi condition for weakly hyperbolic Cauchy problems with coefficients low regular in time and smooth in space ⋮ Exponential function of pseudo-differential operators in Gevrey spaces ⋮ Some results on the well-posedness for systems with time dependent coefficients ⋮ On the Cauchy problem of degenerate hyperbolic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The hyperbolic Cauchy problem
• Cauchy problem conditions for hyperbolic operators with characteristics of variable multiplicity for Gevrey classes
• Fundamental solution for a degenerate hyperbolic operator in Gevrey classes
• On the Cauchy problem for finitely degenerate hyperbolic equations of second order
• Gevrey Asymptotic Representation of the Solutions of Equations with One Turning Point

This page was built for publication: On a sharp Levi condition in Gevrey classes for some infinitely degenerate hyperbolic equations and its necessity