What does the notation $$\langle u, v \rangle_{H^{-1}, H^1}$$ mean? Is it simply $u(v)$ or does it have something to do with inner products on $H^{-1}$ and $H^1$?
2026-04-30 01:06:56.1777511216
Dual space notation (inner product)
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Just a notation: it says that $u \in H^{-1}$, that $v \in H$, and that $u$ acts on $v$ as $u(v)$.