Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity

Bernardi, Enrico, Bove, Antonio, and Petkov, Vesselin. "Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity." Journées Équations aux dérivées partielles 12.3 (2010): 1-13. <http://eudml.org/doc/116385>.

@article{Bernardi2010,
abstract = {We study a class of third order hyperbolic operators $P$ in $G = \Omega \cap \lbrace 0 \le t \le T\rbrace ,\: \Omega \subset \{\mathbb\{R\}\}^\{n+1\}$ with triple characteristics on $t = 0$. We consider the case when the fundamental matrix of the principal symbol for $t = 0$ has a couple of non vanishing real eigenvalues and $P$ is strictly hyperbolic for $t &gt; 0.$ We prove that $P$ is strongly hyperbolic, that is the Cauchy problem for $P + Q$ is well posed in $G$ for any lower order terms $Q$.},
affiliation = {Dipartimento di Matematica per le Scienze Economiche e Sociali, Università di Bologna, Viale Filopanti 5, 40126 Bologna, Italia; Dipartamento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italia; Université Bordeaux I, Institut de Mathématiques de Bordeaux, 351, Cours de la Libération, 33405 Talence, France},
author = {Bernardi, Enrico, Bove, Antonio, Petkov, Vesselin},
journal = {Journées Équations aux dérivées partielles},
keywords = {Cauchy problem; effectively hyperbolic operators; triple characteristics; energy estimates},
language = {eng},
month = {6},
number = {3},
pages = {1-13},
publisher = {Groupement de recherche 2434 du CNRS},
title = {Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity},
url = {http://eudml.org/doc/116385},
volume = {12},
year = {2010},
}

TY - JOUR
AU - Bernardi, Enrico
AU - Bove, Antonio
AU - Petkov, Vesselin
TI - Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity
JO - Journées Équations aux dérivées partielles
DA - 2010/6//
PB - Groupement de recherche 2434 du CNRS
VL - 12
IS - 3
SP - 1
EP - 13
AB - We study a class of third order hyperbolic operators $P$ in $G = \Omega \cap \lbrace 0 \le t \le T\rbrace ,\: \Omega \subset {\mathbb{R}}^{n+1}$ with triple characteristics on $t = 0$. We consider the case when the fundamental matrix of the principal symbol for $t = 0$ has a couple of non vanishing real eigenvalues and $P$ is strictly hyperbolic for $t &gt; 0.$ We prove that $P$ is strongly hyperbolic, that is the Cauchy problem for $P + Q$ is well posed in $G$ for any lower order terms $Q$.
LA - eng
KW - Cauchy problem; effectively hyperbolic operators; triple characteristics; energy estimates
UR - http://eudml.org/doc/116385
ER -