Some (new) counterexamples of parabolic systems
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 3, pp. 503-510.

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We give examples of parabolic systems (in space dimension $n\geq 3 $) having a solution with real analytic initial and boundary values which develops the discontinuity in the interior of the parabolic cylinder.
Classification : 35B65, 35D10, 35K40, 35K50, 35K55
Keywords: parabolic systems; regularity of weak solutions; blow up
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     title = {Some (new) counterexamples of parabolic systems},
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Stará, Jana; John, Oldřich. Some (new) counterexamples of parabolic systems. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 3, pp. 503-510. http://geodesic.mathdoc.fr/item/CMUC_1995__36_3_a11/