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For the general second order linear differential operator $$\mathcal L_0 =\sum_{j, \, k=1}^n \, a_{jk} \, \partial_j \partial_k + \sum_{j=1}^n \, b_{j}\, \partial_j + c$$ with complex-valued distributional coefficients $a_{jk}$,$b_{j}$, and $c$ in an open set $\Omega \subseteq \mathbf{R}^n$ ($n \ge 1$), wepresent conditions which ensure that $-\mathcal L_0$ is accretive, i.e., ${\rmRe} \, \langle -\mathcal L_0 \phi, \phi\rangle \ge 0$ for all $\phi \inC^\infty_0(\Omega).$

Accretivity of the general second order linear differential operator