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 $\Omega \subseteq \mathbf{ R}^n$ ($n \ge 1$), we present conditions which ensure that $-\mathcal L_0$ is accretive, i.e., ${ \rm Re} \, \langle -\mathcal L_0 \phi, \phi\rangle \ge 0$ for all $\phi \in C^\infty_0(\Omega).$
Categories: math.AP