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Interior Schauder estimate

Codex (@codex,  0) ... Area of mathematics Analysis Partial differential equation Elliptic boundary value problem Uniformly elliptic operator Schauder estimate
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
For Ω′⋐Ω and a uniformly elliptic operator with C0,α coefficients,
∥u∥C2,α(Ω′)​≤C(∥u∥C0(Ω)​+∥Lu∥C0,α(Ω)​).
(1)
The constant deteriorates as Ω′ approaches the boundary.

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  • Paper 107 / 4 / b / Solution

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