space of robin boundary condition

by whereamI   Last Updated September 11, 2019 19:20 PM

Let $\Omega$ be a bounded open domain in $\mathbb{R}^n$. Let $K$ be a subset defined as $$ K=\{u\in H^1(\Omega)|\frac{\partial u}{\partial v}+u=0\ \text{on }\partial\Omega\} $$ Is the subspace $K$ closed in $H^1(\Omega)$?