Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity

Bernardi, Enrico; Bove, Antonio; Petkov, Vesselin

Bernardi, Enrico ; Bove, Antonio ; Petkov, Vesselin

Journées équations aux dérivées partielles, (2010), p. 1-13 / Harvested from Numdam

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Résumé

We study a class of third order hyperbolic operators $P$ in $G = Ω \cap {0 \leq t \leq T}, Ω \subset ℝ^{n + 1}$ 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 $t > 0 .$ 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 $Q$ .

Publié le : 2010-01-01
DOI : https://doi.org/10.5802/jedp.61

@article{JEDP_2010____A4_0,
     author = {Bernardi, Enrico and Bove, Antonio and Petkov, Vesselin},
     title = {Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {2010},
     pages = {1-13},
     doi = {10.5802/jedp.61},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_2010____A4_0}
}

Bernardi, Enrico; Bove, Antonio; Petkov, Vesselin. Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity. Journées équations aux dérivées partielles,  (2010), pp. 1-13. doi : 10.5802/jedp.61. http://gdmltest.u-ga.fr/item/JEDP_2010____A4_0/

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