Hyperbolic operators with non-Lipschitz coefficients
Ferruccio Colombini and Nicolas Lerner
Source: Duke Math. J. Volume 77, Number 3
(1995), 657-698.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077286537
Mathematical Reviews number (MathSciNet): MR1324638
Zentralblatt MATH identifier: 0840.35067
Digital Object Identifier: doi:10.1215/S0012-7094-95-07721-7
References
[1] H. Bahouri and J.-Y. Chemin, Equations de transport relatives á des champs de vecteurs non lipschitziens et mécanique des fluides, preprint 1059, École Polytechnique, France, 1993.
[2] J.-M. Bony, Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires, Ann. Sci. École Norm. Sup. (4) 14 (1981), no. 2, 209–246.
Mathematical Reviews (MathSciNet): MR84h:35177
Zentralblatt MATH: 0495.35024
[3] J.-Y. Chemin and N. Lerner, Flots de champs de vecteurs non lipschitziens et équations de Navier-Stokes, preprint 1062, École Polytechnique, France, to appear in J. Differential Equations, 1993.
Mathematical Reviews (MathSciNet): MR1354312
Digital Object Identifier: doi:10.1006/jdeq.1995.1131
[4] F. Colombini, E. De Giorgi, and S. Spagnolo, Sur les équations hyperboliques avec des coefficients qui ne dépendent que du temps, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 6 (1979), no. 3, 511–559.
Mathematical Reviews (MathSciNet): MR81c:35077
Zentralblatt MATH: 0417.35049
[5] F. Colombini, E. Jannelli, and S. Spagnolo, Nonuniqueness in hyperbolic Cauchy problems, Ann. of Math. (2) 126 (1987), no. 3, 495–524.
Mathematical Reviews (MathSciNet): MR89e:35086
Zentralblatt MATH: 0649.35051
Digital Object Identifier: doi:10.2307/1971359
[6] F. Colombini and S. Spagnolo, Some examples of hyperbolic equations without local solvability, Ann. Sci. École Norm. Sup. (4) 22 (1989), no. 1, 109–125.
Mathematical Reviews (MathSciNet): MR90d:35164
Zentralblatt MATH: 0702.35146
[7] E. Jannelli, Regularly hyperbolic systems and Gevrey classes, Ann. Mat. Pura Appl. (4) 140 (1985), 133–145.
Mathematical Reviews (MathSciNet): MR87d:35085
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Digital Object Identifier: doi:10.1007/BF01776846
[8] T. Nishitani, Sur les équations hyperboliques à coefficients höldériens en $t$ et de classe de Gevrey en $x$, Bull. Sci. Math. (2) 107 (1983), no. 2, 113–138.
Mathematical Reviews (MathSciNet): MR85g:35075
Zentralblatt MATH: 0536.35042
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