Cauchy problem for hyperbolic operators with triple effective characteristics on the initial plane
Langue
en
Article de revue
Ce document a été publié dans
Osaka Journal of Mathematics. 2020-07-13, vol. 57, n° 3, p. 597-615
Osaka University
Résumé en anglais
We study effectively hyperbolic operators $P$ with triple characteristics points lying on $t= 0$. Under some conditions on the principal symbol of $P$ one proves that the Cauchy problem for $P$ in $[0, T] \times U$ is well ...Lire la suite >
We study effectively hyperbolic operators $P$ with triple characteristics points lying on $t= 0$. Under some conditions on the principal symbol of $P$ one proves that the Cauchy problem for $P$ in $[0, T] \times U$ is well posed for every choice of lower order terms. Our results improves those in \cite{NP} since we don't assume the condition (E) of \cite{NP} satisfied.< Réduire
Mots clés en anglais
effectively hyperbolic operators
triple characteristics
energy estimates
Origine
Importé de halUnités de recherche