Limiting smoothness of the solution of a nonstationary problem with one or two obstacles

DOI10.1007/BF01104872zbMath0643.35044OpenAlexW1998220063MaRDI QIDQ1101885

Arina A. Arkhipova Arkhipova

Publication date: 1986

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01104872

zbMATH Keywords

regularitySobolev spaceobstaclenonstationary problemboundedness of the second derivativessmoothness of the data

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Cites Work

• On a class of unilateral evolution problems
• On strong solutions to parabolic unilateral problems with obstacle dependent on time
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