Gradient estimates for doubly nonlinear parabolic equations
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 27, Tome 233 (1996), pp. 63-100
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The local gradient estimates for weak solutions of equation $$ u_t-\operatorname{div}\{|u|^l|Du|^{m-2}Du\}=0 $$ are established in the case $m>1$, $0\le l<1$. In the case $m>1$, $l\ge1$ some weight gradient estimates are obtained. Bibl. 19 titles.
@article{ZNSL_1996_233_a5,
author = {A. V. Ivanov},
title = {Gradient estimates for doubly nonlinear parabolic equations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {63--100},
year = {1996},
volume = {233},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_233_a5/}
}
A. V. Ivanov. Gradient estimates for doubly nonlinear parabolic equations. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 27, Tome 233 (1996), pp. 63-100. http://geodesic.mathdoc.fr/item/ZNSL_1996_233_a5/