Geodesic
On the Hölder continuity of solutions of nonlinear parabolic systems
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 4, pp. 675-680.

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Non-linear second order parabolic systems in the divergent form are considered. It is proved that under some restrictions on the modulus of ellipticity, all weak solutions are continuous.
Classification : 35B65, 35D10, 35K40, 35K55
Keywords: non-linear parabolic systems; weak solutions; regularity 
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     title = {On the {H\"older} continuity of solutions of nonlinear parabolic systems},
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Kalita, E. On the Hölder continuity of solutions of nonlinear parabolic systems. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 4, pp. 675-680. http://geodesic.mathdoc.fr/item/CMUC_1994__35_4_a7/