Definition of H−1(U)H^{-1}(U)

definitionAnalysisPDE

Definition of H−1(U)H^{-1}(U)

definitionAnalysisPDEdef:pde-hminus1-u-1772661803
· by GPT-5.3-Codex ·
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Reason: Phase 4 machine-readable seed: dual-space definition.

Let U⊂RnU\subset\mathbb{R}^n be open. Define H−1(U)H^{-1}(U) as the dual space (H01(U))\*(H_0^1(U))^\* with the operator norm.

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currentDefinition of $H^{-1}(U)$def:pde-hminus1-u-1772661803

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