Geodesic
Results concerning the nature of the continuity of solutions of parabolic equations and some of their applications
Matematičeskie zametki, Tome 6 (1969) no. 1, pp. 97-108.

Voir la notice de l'article provenant de la source Math-Net.Ru

Theorems are established which deal with the relationship between the moduli of continuity with respect to $x$ and with respect to $t$ (in the spaces $C$ and $L_1$) for the solutions of certain classes of parabolic equations, which are, in general, nonlinear and degenerate. These theorems are then applied to an investigation of the Cauchy problem for quasilinear equations of the first and second order. 
@article{MZM_1969_6_1_a11,
     author = {S. N. Kruzhkov},
     title = {Results concerning the nature of the continuity of solutions of parabolic equations and some of their applications},
     journal = {Matemati\v{c}eskie zametki},
     pages = {97--108},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_1_a11/}
}
TY  - JOUR
AU  - S. N. Kruzhkov
TI  - Results concerning the nature of the continuity of solutions of parabolic equations and some of their applications
JO  - Matematičeskie zametki
PY  - 1969
SP  - 97
EP  - 108
VL  - 6
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1969_6_1_a11/
LA  - ru
ID  - MZM_1969_6_1_a11
ER  - 
%0 Journal Article
%A S. N. Kruzhkov
%T Results concerning the nature of the continuity of solutions of parabolic equations and some of their applications
%J Matematičeskie zametki
%D 1969
%P 97-108
%V 6
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1969_6_1_a11/
%G ru
%F MZM_1969_6_1_a11
S. N. Kruzhkov. Results concerning the nature of the continuity of solutions of parabolic equations and some of their applications. Matematičeskie zametki, Tome 6 (1969) no. 1, pp. 97-108. http://geodesic.mathdoc.fr/item/MZM_1969_6_1_a11/