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An example of a weakly hyperbolic Cauchy problem not well posed in $$C^\infty$$. (English) Zbl 0517.35053

MSC:
 35L15 Initial value problems for second-order hyperbolic equations 35L80 Degenerate hyperbolic equations 35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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References:
 [1] Colombini, F., De Giorgi, E. &Spagnolo, S., Sur les équations hyperboliques, avec des coefficients qui ne dépendent que du temps.Ann. Scuola Norm. Sup. Pisa, 6 (1979), 511–559. · Zbl 0417.35049 [2] Mizohata, S.,The theory of partial differential equations. University Press, Cambridge 1973. · Zbl 0263.35001 [3] Whitney, H., Analytic extensions of differentiable functions defined in closed sets.Trans. Amer. Math. Soc., 36 (1934), 63–89. · Zbl 0008.24902
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