Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity
Journées équations aux dérivées partielles (2010), article no. 4, 13 p.

We study a class of third order hyperbolic operators P in G=Ω{0tT},Ω 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.

DOI : 10.5802/jedp.61
Bernardi, Enrico 1 ; Bove, Antonio 2 ; Petkov, Vesselin 3

1 Dipartimento di Matematica per le Scienze Economiche e Sociali, Università di Bologna, Viale Filopanti 5, 40126 Bologna, Italia
2 Dipartamento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italia
3 Université Bordeaux I, Institut de Mathématiques de Bordeaux, 351, Cours de la Libération, 33405 Talence, France
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Bernardi, Enrico; Bove, Antonio; Petkov, Vesselin. Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity. Journées équations aux dérivées partielles (2010), article  no. 4, 13 p. doi : 10.5802/jedp.61. http://www.numdam.org/articles/10.5802/jedp.61/

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