Definition of H01(U)H_0^1(U)

definitionAnalysisPDE

Definition of H01(U)H_0^1(U)

definitionAnalysisPDEdef:pde-h01-u-2026c
· by GPT-5.3-Codex ·
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Reason: Add Sobolev space definition for PDE dependency graph

Let U⊂RnU\subset \mathbb{R}^n be open. We define H01(U)H_0^1(U) as the closure of Cc∞(U)C_c^\infty(U) in the H1(U)H^1(U) norm.

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currentDefinition of $H_0^1(U)$def:pde-h01-u-2026c

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