The duality between the gradient and divergence operators on bounded Lipschitz domains

Mikael Kurula, Heiko J. Zwart · University of Twente Research Information · 2012

This report gives an exact result on the duality of the divergence and gradient operators, when these are considered as operators between $L^2$-spaces on a bounded $n$-dimensional Lipschitz domain. The necessary background is described in detail, with a self-contained exposition.

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