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ANALYSIS SEMINAR - UNIVAERSITY OF HAIFA
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SPEAKER: Yehuda Pinchover
TITLE: On the anti-maximum principle
DATE: Thursday, 11 February, 1999
PLACE: Room 1116, Eshkol Tower, University of Haifa
TIME: 10:15
ABSTRACT:
A quite recent topic in the theory of second order elliptic operators is
the so-called anti-maximum principle discovered by Ph. Clement, and L. A.
Peletier. This interesting phenomenon occurs above the generalized
principal eigenvalue t_0 (recall that the generalized maximum principle
holds true below t_0). Let u_t be a solution of the equation
^^^^^
(P-t)u_t=f on D,
where P is a second order linear elliptic operator, t > t_0 and f is a
nonzero, nonnegative function.
The anti-maximum principle reads roughly that under some ``smallness''
conditions on f and u_t in a neighborhood of infinity in D, there
exists e > 0 which may depend on f such that
u_t < 0 for all t_0 < t < t_0 + e.
For further information please contact:
Jonathan Arazy
Phone: 04-8240352
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