Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
We work on a bounded smooth domain. Let $C_0(\bar\Omega)$ be the set of continuous functions with compact support and let $s \in (0,1)$.
Is $H^s(\Omega) \cap C_0(\bar\Omega) \subset H^s(\Omega)$ dense?
I cannot find any reference..
Did you check Partial Differential Equations of Evans ? It is one of the best reference I've read on the subject.
Required, but never shown