Solution
= Solution
\b[No.] Point evaluation is continuous on $H^1(\mathbb R)$, and every <limit> of <functions> supported away from zero has trace $u(0)=0$. A smooth <function> with nonzero value at zero belongs to $H^1$ but not to this $H_0^1$.
= Solution
\b[No.] Point evaluation is continuous on $H^1(\mathbb R)$, and every <limit> of <functions> supported away from zero has trace $u(0)=0$. A smooth <function> with nonzero value at zero belongs to $H^1$ but not to this $H_0^1$.