Let $H^{-1}(\Omega)$ denote the dual of $H^1_0(\Omega),$ where $\Omega \subset \mathbb{R}^n.$ So clearly the space of distributions $\mathcal{D}'(\Omega):=(C_c^{\infty}(\Omega))'$ is a superset of $H^{-1}(\Omega).$ What are the examples of distribution which is not in $H^{-1}(\Omega)?$
2026-05-15 13:02:34.1778850154
Distribution which is not in $H^{-1}(\mathbb{\Omega})$
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