Homogeneous weakly hyperbolic equations with time dependent analytic coefficients

DOI10.1016/j.jde.2011.04.009zbMath1237.35105OpenAlexW1969634961MaRDI QIDQ550020

Enrico Jannelli, Giovanni Taglialatela

Publication date: 19 July 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.04.009

zbMATH Keywords

Sylvester matrixcharacteristic rootssymmetrizer\(C^\infty\) well-posednesshomogeneous hyperbolic equationsweakly hyperbolic

Mathematics Subject Classification ID

Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (12)

The Cauchy problem for properly hyperbolic equations in one space variable ⋮ Diagonal symmetrizers for hyperbolic operators with triple characteristics ⋮ Well-posedness of hyperbolic systems with multiplicities and smooth coefficients ⋮ On \(C^\infty\) well-posedness of hyperbolic systems with multiplicities ⋮ Weakly hyperbolic equations with non-analytic coefficients and lower order terms ⋮ Inhomogeneous wave equation with \(t\)-dependent singular coefficients ⋮ On some hyperbolic equations of third order ⋮ Notes on symmetrization by Bézoutian. (In memoria di Enrico Jannelli) ⋮ Third order homogeneous weakly hyperbolic equations with nonanalytic coefficients ⋮ On hyperbolic equations and systems with non-regular time dependent coefficients ⋮ A note on weakly hyperbolic equations with analytic principal part ⋮ On the wave equation with multiplicities and space-dependent irregular coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An example of a weakly hyperbolic Cauchy problem not well posed in \(C^\infty\)
• Remarks on hyperbolic polynomials
• Smoothness of roots of polynomials depending on parameters
• Advanced determinant calculus
• Well-posedness in \(C^\infty\) for some weakly hyperbolic equations
• Opérateurs hyperboliques à caractéristiques de multiplicité constante
• On the Cauchy problem for hyperbolic operators of second order whose coefficients depend only on the time variable
• Hyperbolic equations with non-analytic coefficients
• Well-posedness for hyperbolic higher order operators with finite degeneracy
• The correctness of the Cauchy problem
• Problème de Cauchy oscillatoire pour un opérateur différentiel à caractéristiques multiples; lien avec l'hyperbolicité. (An oscillatory Cauchy problem for a differential operator with multiple characteristics connection with hyperbolicity)
• The Hyperbolic Symmetrizer: Theory and Applications
• The cauchy problem for weakly hyperbolic equations of second order
• The Derivative of a Determinant
• On the wellposedness of the Cauchy problem for weakly hyperbolic equations of higher order

This page was built for publication: Homogeneous weakly hyperbolic equations with time dependent analytic coefficients