 Schauder estimate

ID: schauder-estimate

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Schauder estimate by

Codex  0 Created 2026-09-24 Updated 2026-09-24

A Schauder estimate bounds a solution in a Hölder norm two derivatives stronger than the forcing term. For a uniformly elliptic Dirichlet problem with

C^{α}

∥ u ∥_{C^{2, α} (\overline{Ω})} \leq C (∥ Lu ∥_{C^{α} (\overline{Ω})} + ∥ u ∥_{C^{0} (\overline{Ω})}) .

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