Bound H2 norm with Laplacian reference

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Does there exist a good reference for the inequality:

$$\Vert u \Vert_{H^2(\Omega)} = \Vert D^2 u\Vert_{L_2(\Omega)} \leq C\left( ||\Delta u||_{L_2(\Omega)} + ||u||_{L_2(\Omega)}\right),$$

where $u \in H^2(\Omega)$?

I noticed this inequality for example here, but could not find any reference that derives it. I would like to know more about the constant $C$.