Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4268

 Title: On second order weakly hyperbolic equations and the Gevrey classes Authors: Colombini, FerruccioNishitani, Tatsuo Issue Date: 2000 Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche Citation: Ferruccio Colombini and Tatsuo Nishitani, "On second order weakly hyperbolic equations and the Gevrey classes", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 31 (2000) suppl.2, pp. 31-50. Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics31 (2000) suppl.2 Abstract: We study the Cauchy problem for a second order weakly hyperbolic operator with coefficients depending only on time. We consider the case of coefficients of the principal part belonging to an intermediate class between $C\infty$ and the real analytic class and we specify the function spaces in which the Cauchy problem is well posed. Moreover we show by a counter example that this results are in some sense optimal. URI: http://hdl.handle.net/10077/4268 ISSN: 0049-4704 Appears in Collections: Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.31 (2000) s2

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