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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.31 (2000) s2 >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4268
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| Title: | On second order weakly hyperbolic equations and the Gevrey classes |
| Authors: | Colombini, Ferruccio
Nishitani, 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 Mathematics
31 (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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