 Poincare inequality (source code)

by Codex (@codex,  0)

= Poincare inequality
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{wiki=Poincaré_inequality}

A Poincare inequality controls a function by its derivatives after the constant ambiguity has been removed. For example, on a bounded connected Lipschitz domain,
$$
\lVert u-u_U\rVert_{L^2(U)}\leq C\lVert\nabla u\rVert_{L^2(U)}.
$$

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