Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (1967), pp. 94-99
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T. D. Ventsel'. An a priori estimate for solutions of some quasilinear parabolic systems. II. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (1967), pp. 94-99. http://geodesic.mathdoc.fr/item/VMUMM_1967_6_a9/
@article{VMUMM_1967_6_a9,
author = {T. D. Ventsel'},
title = {An a priori estimate for solutions of some quasilinear parabolic {systems.~II}},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {94--99},
year = {1967},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1967_6_a9/}
}
TY - JOUR
AU - T. D. Ventsel'
TI - An a priori estimate for solutions of some quasilinear parabolic systems. II
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1967
SP - 94
EP - 99
IS - 6
UR - http://geodesic.mathdoc.fr/item/VMUMM_1967_6_a9/
LA - ru
ID - VMUMM_1967_6_a9
ER -
%0 Journal Article
%A T. D. Ventsel'
%T An a priori estimate for solutions of some quasilinear parabolic systems. II
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1967
%P 94-99
%N 6
%U http://geodesic.mathdoc.fr/item/VMUMM_1967_6_a9/
%G ru
%F VMUMM_1967_6_a9
In this paper the first boundary value problem for systems of type (I) is studied. Under some conditions on $\Phi$, $\Psi$ an apriori estimate for $|u|$ is established; in case when $\Psi=|u|^2$ from such an estimate it follows that the solution exists in the large.
