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

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

2010-12-30

arxiv.org/abs/1101.0164v2

Mathematics

Analysis of PDEs

17 pages

Scientific paper

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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