Geodesic
Some (new) counterexamples of parabolic systems
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 3, pp. 503-510 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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     author = {Star\'a, Jana and John, Old\v{r}ich},
     title = {Some (new) counterexamples of parabolic systems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {503--510},
     year = {1995},
     volume = {36},
     number = {3},
     mrnumber = {1364491},
     zbl = {0846.35024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1995_36_3_a11/}
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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/