Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 23, Tome 197 (1992), pp. 42-70
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A. V. Ivanov. The classes $\mathcal{B}_{m,l}$ and Hölder estimates for quasilinear doubly degenerate parabolic equations. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 23, Tome 197 (1992), pp. 42-70. http://geodesic.mathdoc.fr/item/ZNSL_1992_197_a2/
@article{ZNSL_1992_197_a2,
author = {A. V. Ivanov},
title = {The classes $\mathcal{B}_{m,l}$ and {H\"older} estimates for quasilinear doubly degenerate parabolic equations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {42--70},
year = {1992},
volume = {197},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1992_197_a2/}
}
TY - JOUR
AU - A. V. Ivanov
TI - The classes $\mathcal{B}_{m,l}$ and Hölder estimates for quasilinear doubly degenerate parabolic equations
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1992
SP - 42
EP - 70
VL - 197
UR - http://geodesic.mathdoc.fr/item/ZNSL_1992_197_a2/
LA - ru
ID - ZNSL_1992_197_a2
ER -
%0 Journal Article
%A A. V. Ivanov
%T The classes $\mathcal{B}_{m,l}$ and Hölder estimates for quasilinear doubly degenerate parabolic equations
%J Zapiski Nauchnykh Seminarov POMI
%D 1992
%P 42-70
%V 197
%U http://geodesic.mathdoc.fr/item/ZNSL_1992_197_a2/
%G ru
%F ZNSL_1992_197_a2
Inner and boundary Hölder estimates for nonnegative weak solutions of quasilinear doubly degenerate parabolic equations are established. The proof of these results is based on studing some classes $\mathcal{B}_{m,l}$ which can be considered as an extensions of the classes $\mathcal{B}_2$ introduced by Ladyzhenskaya–Uraltseva and the classes $\mathcal{B}_m$ introduced by DiBenedetto. Imbedding of the classes $\mathcal{B}_{m,l}$ in appropriate Hölder spaces is proved.