Weighted estimate of gradient for nonnegative weak solutions of quasilinear doubly degenerate parabolic equations
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 11, Tome 181 (1990), pp. 3-23
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The weighted estimate of the type $$ u^\alpha|\nabla u|\leqslant \mathrm{const},\quad \alpha>0, $$ for nonnegative weak solutions of quasilinear doubly degenerate parabolic equations is established.
@article{ZNSL_1990_181_a0,
author = {A. V. Ivanov and P. Z. Mkrtychian},
title = {Weighted estimate of gradient for nonnegative weak solutions of quasilinear doubly degenerate parabolic equations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {3--23},
publisher = {mathdoc},
volume = {181},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1990_181_a0/}
}
TY - JOUR AU - A. V. Ivanov AU - P. Z. Mkrtychian TI - Weighted estimate of gradient for nonnegative weak solutions of quasilinear doubly degenerate parabolic equations JO - Zapiski Nauchnykh Seminarov POMI PY - 1990 SP - 3 EP - 23 VL - 181 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1990_181_a0/ LA - ru ID - ZNSL_1990_181_a0 ER -
%0 Journal Article %A A. V. Ivanov %A P. Z. Mkrtychian %T Weighted estimate of gradient for nonnegative weak solutions of quasilinear doubly degenerate parabolic equations %J Zapiski Nauchnykh Seminarov POMI %D 1990 %P 3-23 %V 181 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1990_181_a0/ %G ru %F ZNSL_1990_181_a0
A. V. Ivanov; P. Z. Mkrtychian. Weighted estimate of gradient for nonnegative weak solutions of quasilinear doubly degenerate parabolic equations. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 11, Tome 181 (1990), pp. 3-23. http://geodesic.mathdoc.fr/item/ZNSL_1990_181_a0/