no. 2
Well-posedness of the Cauchy problem for a hyperbolic equation with non-Lipschitz coefficients
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 1 (2002) no. 2, pp. 327-358

We prove that the Cauchy problem for a class of hyperbolic equations with non-Lipschitz coefficients is well-posed in 𝒞 ∞ and in Gevrey spaces. Some counter examples are given showing the sharpness of these results.

Classification : 35L15, 35L10, 35A05 
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     title = {Well-posedness of the {Cauchy} problem for a hyperbolic equation with {non-Lipschitz} coefficients},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {327--358},
     year = {2002},
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Colombini, Ferruccio; del Santo, Daniele; Kinoshita, Tamotu. Well-posedness of the Cauchy problem for a hyperbolic equation with non-Lipschitz coefficients. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 1 (2002) no. 2, pp. 327-358. https://www.numdam.org/item/ASNSP_2002_5_1_2_327_0/

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