Cauchy problem for hyperbolic operators with triple characteristics of variable multiplicity
Enrico Bernardi, Antonio Bove, Vesselin Petkov (2010)
Journées Équations aux dérivées partielles
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We study a class of third order hyperbolic operators in with triple characteristics on . We consider the case when the fundamental matrix of the principal symbol for has a couple of non vanishing real eigenvalues and is strictly hyperbolic for We prove that is strongly hyperbolic, that is the Cauchy problem for is well posed in for any lower order terms .