A centennial of the Zaremba--Hopf--Oleinik Lemma

2010/12/30 by Nazarov, Alexander I.
#35B50 #35J15 #35K10 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1101.0164

Abstract

We discuss the problem how "bad" may be lower-order coefficients in elliptic and parabolic second order equations to ensure the Hopf--Oleinik Lemma for solutions to hold true. We also touch the gradient estimates for solutions at the boundary.

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