Density of Resonances for Strictly Convex Analytic Obstacles
Density of Resonances for Strictly Convex Analytic Obstacles
Abstract We estimate the density of resonances close to a critical curve, for strictly convex obstacles with analytic boundary. Contrary to the C ∞ -case, already treated with Zworski, the estimates are in terms of dynamical quantities. A new feature in the proof is a certain averaging procedure.