Geodesic
A necessary condition for regularity of a~boundary point for a~quasilinear parabolic equation
Sbornik. Mathematics, Tome 76 (1993) no. 2, pp. 265-281

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A necessary condition for regularity of a point on the lateral cylindrical surface is established for a divergent quasilinear second-order parabolic equation. Together with the sufficient condition of Ziemer, the result obtained here reduces to the Tikhonov criterion for the heat equation. 
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     author = {I. V. Skrypnik},
     title = {A necessary condition for regularity of a~boundary point for a~quasilinear parabolic equation},
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I. V. Skrypnik. A necessary condition for regularity of a~boundary point for a~quasilinear parabolic equation. Sbornik. Mathematics, Tome 76 (1993) no. 2, pp. 265-281. http://geodesic.mathdoc.fr/item/SM_1993_76_2_a0/