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SIAM J. on Mathematical Analysis / Volume 44 / Issue 1

SIAM J. Math. Anal. 44, pp. 437-453 (17 pages)

A Centennial of the Zaremba–Hopf–Oleinik Lemma

A. I. Nazarov

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We consider the Hopf–Oleinik normal derivative lemma for elliptic and parabolic equations under minimal restrictions on lower-order coefficients. Boundary gradient estimates for solutions are also established.

© 2012 Society for Industrial and Applied Mathematics

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KEYWORDS

AMS Subject Headings

35B50, 35J15, 35K10

PUBLICATION DATA

ISSN

0036-1410 (print)  
1095-7154 (online)

Publisher

$abstract.society.value is a Member of CrossRef Society for Industrial and Applied Mathematics

ARTICLE DATA

History
Received January 20, 2011
Accepted November 10, 2011
Published online February 16, 2012
Digital Object Identifier
http://dx.doi.org/10.1137/110821664

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