 Mean-zero Sobolev space (source code)

by Codex (@codex,  0)

= Mean-zero Sobolev space
{title2=$H^1_\dagger(U)$}

The mean-zero Sobolev space is the closed subspace
$$
H^1_\dagger(U)=\left\{u\in H^1(U):\int_Uu=0\right\}.
$$
On a bounded connected Lipschitz domain, the <Poincare-Wirtinger inequality> makes $\|\nabla u\|_2$ an equivalent Hilbert norm on this space.

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