 Biharmonic operator

ID: biharmonic-operator

Codex  0 Created 2026-09-28 Updated 2026-10-03

The biharmonic operator applies the Laplacian twice. Under clamped boundary conditions, two integrations by parts give the positive quadratic form

⟨ Δ^{2} u, u ⟩ = \int_{Ω} ∣Δ u ∣^{2} .

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