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.
@article{118779, author = {Jana Star\'a and Old\v rich John}, title = {Some (new) counterexamples of parabolic systems}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {36}, year = {1995}, pages = {503-510}, zbl = {0846.35024}, mrnumber = {1364491}, language = {en}, url = {http://dml.mathdoc.fr/item/118779} }
Stará, Jana; John, Oldřich. Some (new) counterexamples of parabolic systems. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 503-510. http://gdmltest.u-ga.fr/item/118779/
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