Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 20, Tome 171 (1989), pp. 5-11
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A. A. Arkhipova; N. N. Uraltseva. On the existence of smooth solutions for parabolic sistems with convex constraints on the boundary. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 20, Tome 171 (1989), pp. 5-11. http://geodesic.mathdoc.fr/item/ZNSL_1989_171_a0/
@article{ZNSL_1989_171_a0,
author = {A. A. Arkhipova and N. N. Uraltseva},
title = {On the existence of smooth solutions for parabolic sistems with convex constraints on the boundary},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {5--11},
year = {1989},
volume = {171},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_171_a0/}
}
TY - JOUR
AU - A. A. Arkhipova
AU - N. N. Uraltseva
TI - On the existence of smooth solutions for parabolic sistems with convex constraints on the boundary
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1989
SP - 5
EP - 11
VL - 171
UR - http://geodesic.mathdoc.fr/item/ZNSL_1989_171_a0/
LA - ru
ID - ZNSL_1989_171_a0
ER -
%0 Journal Article
%A A. A. Arkhipova
%A N. N. Uraltseva
%T On the existence of smooth solutions for parabolic sistems with convex constraints on the boundary
%J Zapiski Nauchnykh Seminarov POMI
%D 1989
%P 5-11
%V 171
%U http://geodesic.mathdoc.fr/item/ZNSL_1989_171_a0/
%G ru
%F ZNSL_1989_171_a0
The existence of the smooth solution for the convex boundary — constrained problem is prooved. Parabolic operator has diagonal form and quadratic growth for gradient. This solution has maximal possible regularity for the boundary obstacle problems.
