- #1

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[itex]L^1(ℝ)[/itex] as in a function [itex]g\in C^1(ℝ)\cap L^1(ℝ)[/itex]

[itex]||u(\bullet ,t)||_{L^∞}[/itex]

The bullet in the second expression is actually a single dot at that height, but I could not find the latex symbol for it. I initially thought it was a limit as [itex]x\rightarrow\infty[/itex] but that is incorrect.