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On second order weakly hyperbolic equations and the Gevrey classes
Colombini, Ferruccio
Nishitani, Tatsuo
2000
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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
31 (2000) suppl.2
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
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.
Languages
en
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