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.
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
Keywords: regularity; entropy solutions; parabolic equations; irregular data
@article{CMUC_2007_48_1_a5,
author = {Li, Fengquan},
title = {Regularity for entropy solutions of a class of parabolic equations with irregular data},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {69--82},
year = {2007},
volume = {48},
number = {1},
mrnumber = {2338830},
zbl = {1199.35141},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2007_48_1_a5/}
}
TY - JOUR AU - Li, Fengquan TI - Regularity for entropy solutions of a class of parabolic equations with irregular data JO - Commentationes Mathematicae Universitatis Carolinae PY - 2007 SP - 69 EP - 82 VL - 48 IS - 1 UR - http://geodesic.mathdoc.fr/item/CMUC_2007_48_1_a5/ LA - en ID - CMUC_2007_48_1_a5 ER -
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/