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http://dx.doi.org/10.4134/JKMS.j150715

HOPF'S BOUNDARY TYPE BEHAVIOR FOR AN INTERFACE PROBLEM  

Beygmohammadi, Maryam (Mathematical Institute University of Cologne)
Sweers, Guido (Mathematical Institute University of Cologne)
Publication Information
Journal of the Korean Mathematical Society / v.54, no.1, 2017 , pp. 249-265 More about this Journal
Abstract
Interface problem here refers to a second order elliptic problem with a discontinuous coefficient for the second order derivatives. For the corresponding boundary value problem, the maximum principle still holds but Hopf's boundary point lemma may fail. We will give an optimal power type estimate that replaces Hopf's lemma at those boundary points, where this coefficient jumps.
Keywords
Hopf's lemma; interface; optimal estimate;
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Times Cited By KSCI : 1  (Citation Analysis)
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