Spectral Selection in Sphere-Constrained Flows Generated by Polynomials of the Dirichlet Laplacian

Javed Hussain

Let $\Omega \subset {\mathbb{R}}^d$ be a bounded smooth domain and let $-{\Delta }_D$ be the positive Dirichlet Laplacian on $L^2(\Omega )$. For a real polynomial $p$ with positive leading coefficient, w…