2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138228We establish asymptotic bounds on the L^p norms of spectrally localized functions in the case of two-dimensional Dirichlet forms with coefficients of Lipschitz regularity. These bounds are new for the range p>6. A key step in the proof is bounding the rate at which energy spreads for solutions to hyperbolic equations with Lipschitz coefficients.10 pagesAnalysis of PDEs35P15Subcritical Lp bounds on spectral clusters for Lipschitz metricstext