Geodesic
Regularity for entropy solutions of a class of parabolic equations with irregular data
Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 1, pp. 69-82.

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Using as a main tool the time-regularizing convolution operator introduced by R. Landes, we obtain regularity results for entropy solutions of a class of parabolic equations with irregular data. The results are obtained in a very general setting and include known previous results.
Classification : 35B65, 35D10, 35D99, 35K20, 35K55
Keywords: regularity; entropy solutions; parabolic equations; irregular data 
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Li, Fengquan. Regularity for entropy solutions of a class of parabolic equations with irregular data. Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 1, pp. 69-82. http://geodesic.mathdoc.fr/item/CMUC_2007__48_1_a5/