Let $V \subset H$ be a compact embedding of Hilbert spaces. Suppose $u_n$ is bounded uniformly in $L^2(0,T;V)$. Does it follow that (for a subsequence), $u_{n_j}(t) \to u(t)$ in $H$ for some $u(t) \in H$?
2026-03-25 23:35:50.1774481750
Compact embedding in Bochner space
387 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in FUNCTIONAL-ANALYSIS
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