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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1989 Volume 171, Pages 5–11 (Mi znsl4468)

This article is cited in 3 papers

On the existence of smooth solutions for parabolic sistems with convex constraints on the boundary

A. A. Arkhipova, N. N. Uraltseva


Abstract: 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.

UDC: 517.946


 English version:
Journal of Soviet Mathematics, 1991, 56:2, 2281–2285

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