Well-posedness in \(C^\infty\) for some weakly hyperbolic equations

DOI10.1215/kjm/1250517861zbMath1007.35045OpenAlexW1561975952MaRDI QIDQ1585440

Ferruccio Colombini, Nicola Orrù

Publication date: 15 November 2000

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

Full work available at URL: https://doi.org/10.1215/kjm/1250517861

zbMATH Keywords

necessary and sufficient condition for well-posednessthird-order homogeneous equation

Mathematics Subject Classification ID

Related Items (18)

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 ⋮ Weakly hyperbolic equations with non-analytic coefficients and lower order terms ⋮ A class of dissipative wave equations with time-dependent speed and damping ⋮ On some hyperbolic equations of third order ⋮ HOMOGENEOUS HYPERBOLIC EQUATIONS WITH COEFFICIENTS DEPENDING ON ONE SPACE VARIABLE ⋮ Hyperbolic equations with non-analytic coefficients ⋮ On the well-posedness of weakly hyperbolic equations with time-dependent coefficients ⋮ Strong hyperbolicity in Gevrey classes ⋮ Third order homogeneous weakly hyperbolic equations with nonanalytic coefficients ⋮ Homogeneous weakly hyperbolic equations with time dependent analytic coefficients ⋮ A sufficient condition for well-posedness for systems with time-dependent coefficients ⋮ Some inequalities of Glaeser-Bronšteĭn type ⋮ 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 ⋮ On third order hyperbolic equations

This page was built for publication: Well-posedness in \(C^\infty\) for some weakly hyperbolic equations