# 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 $$H^1(\Omega)$$?

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