A heat trace anomaly on polygons
A heat trace anomaly on polygons
Abstract Let Ω 0 be a polygon in $\mathbb{R}$ 2 , or more generally a compact surface with piecewise smooth boundary and corners. Suppose that Ω ε is a family of surfaces with ${\mathcal C}$ ∞ boundary which converges to Ω 0 smoothly away from the corners, and in a …