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Existence of smooth solutions of problems for parabolic systems with convex constraints on the boundary of the domain. / Arkhipova, A. A.; Ural'tseva, N. N.

In: Journal of Soviet Mathematics, Vol. 56, No. 2, 01.08.1991, p. 2281-2285.

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@article{2d0059a51fab4fa4a88314d3477f1657,
title = "Existence of smooth solutions of problems for parabolic systems with convex constraints on the boundary of the domain",
abstract = "The existence of a smooth solution for problems with a convex constraint on the boundary is proved. The parabolic operator has a diagonal form and a quadratic growth with respect to the gradient. The obtained solution has the maximal possible regularity for problems with boundary obstacles.",
author = "Arkhipova, {A. A.} and Ural'tseva, {N. N.}",
year = "1991",
month = aug,
day = "1",
doi = "10.1007/BF01671930",
language = "English",
volume = "56",
pages = "2281--2285",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Existence of smooth solutions of problems for parabolic systems with convex constraints on the boundary of the domain

AU - Arkhipova, A. A.

AU - Ural'tseva, N. N.

PY - 1991/8/1

Y1 - 1991/8/1

N2 - The existence of a smooth solution for problems with a convex constraint on the boundary is proved. The parabolic operator has a diagonal form and a quadratic growth with respect to the gradient. The obtained solution has the maximal possible regularity for problems with boundary obstacles.

AB - The existence of a smooth solution for problems with a convex constraint on the boundary is proved. The parabolic operator has a diagonal form and a quadratic growth with respect to the gradient. The obtained solution has the maximal possible regularity for problems with boundary obstacles.

UR - http://www.scopus.com/inward/record.url?scp=0040863265&partnerID=8YFLogxK

U2 - 10.1007/BF01671930

DO - 10.1007/BF01671930

M3 - Article

AN - SCOPUS:0040863265

VL - 56

SP - 2281

EP - 2285

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 51918945