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Hardy inequalities for Robin Laplacians

GFM seminar
IIIUL, Sala A2-25
2014-02-04 14:30 .. 15:30
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Hynek Kovarik (Dipartimento di Matematica, Università degli Studi di Brescia)

We study a Hardy inequality for Laplace operators with Robin boundary conditions. For convex domains, in particular, we show explicitly how  the Hardy weight depends on the coefficient of the Robin boundary conditions.
We also discuss extensions to non-convex and applications to eigenvalue estimates.
This is a joint work with A. Laptev.