Geodesic
A note on regular points for solutions of parabolic systems
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 3, pp. 557-563.

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A vector valued function $u=u(x,t)$, solution of a quasilinear parabolic system cannot be too close to a straight line without being regular.
Classification : 35D10, 35K35, 35K50, 35K55
Keywords: regularity of weak solutions; parabolic systems 
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     title = {A note on regular points for solutions of parabolic systems},
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Viszus, Eugen. A note on regular points for solutions of parabolic systems. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 3, pp. 557-563. http://geodesic.mathdoc.fr/item/CMUC_1996__37_3_a12/