The peak heat flux conjecture for the first Dirichlet eigenmode of convex planar domains

Zijian Wang, Jeremy G. Hoskins, Manas Rachh +1

In this paper, we study the scale-invariant quantity \[\mathcal{G}(Ω)=\frac{\|\partial_n u_1\|_{L^\infty(\partialΩ)}}{λ_1},\]where $u_1$ is the first $L^2$-normalized Dirichlet…