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On the sufficient condition for regularity of a boundary point for singular parabolic equations with non‐standard growth
Author(s) -
Skrypnik Igor I.
Publication year - 2011
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200810215
Subject(s) - mathematics , mathematical analysis , boundary (topology) , domain (mathematical analysis) , parabolic partial differential equation , nonlinear system , boundary value problem , point (geometry) , partial differential equation , geometry , physics , quantum mechanics
We investigate the continuity of solutions for general nonlinear parabolic equations with non‐standard growth near a nonsmooth boundary of a cylindrical domain. We prove a sufficient condition for regularity of a boundary point.