Let $H^1([0,1])$ denote the Sobolev space $H^1$ on the interval $[0,1]$. What is $H^1([0,1]) \otimes H^1([0,1])$?
Here, $\otimes$ the tensor product of Hilbert spaces. In particular, how is that object related to $H^1([0,1]^2)$?
2026-04-24 02:24:18.1776997458
What is $H^1([0,1]) \otimes H^1([0,1])$?
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