Capacity of shrinking condensers in the plane

Details Capacity of shrinking condensers in the plane Capacity of shrinking condensers in the plane

2011-08-26

arxiv.org/abs/1108.5325v1

Mathematics

Analysis of PDEs

Scientific paper

We show that the capacity of a class of plane condensers is comparable to the
capacity of corresponding "dyadic condensers". As an application, we show that
for plane condensers in that class the capacity blows up as the distance
between the plates shrinks, but there can be no asymptotic estimate of the
blow-up.

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