Non-Positivity of the heat equation with non-local Robin boundary conditions

Jochen Glück, Jonathan Mui

We study heat equations ${\partial }_{t}u-\mathrm{div}(A\nabla u)=0$ on bounded Lipschitz domains $\hat{I}\text{c◯}$, where $-\mathrm{div}(A\nabla \cdot )$ is a second-order unifor…