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EDP wave equation Dispersives estimates Cauchy problem resolvent Resolubilidade Local Solvability evolution equations Scattering Theory energy decay Spectral Theory Resonances Dirichlet to Neumann Functional semiclassical Tricomi operators transmission problem Operadores Pseudodiferenciais Laplace-Beltrami scattering phase Hypergeometric Functions Pseudo-Differential Operators magnetic potentials Elasticidade Linear Elasticity DISPERSÃO Equacoes Funcionais Riemannian manifold riemannian manifolds Propagação de Ondas Globalmente Elitico Dynamical system Variedades Assintoticamente Hiperbólicas estocastico Atividades de RuyLuis Gomes no Recife TEORIA ESPECTRAL Equação de Tricomi Determinístico Dirichlet-to-Neumann Operator equação da onda semilinear Elliptic periodic rays Scar Problem pseudodifferentaial operators nucleo do operador Distribuicao Espectral asymptotics Obstaculo Movel Gevrey Globally Elliptic abstract complexes pseudo-differential operator local solutions obstaculos genericos Fourier Integrals Operadores Integrais de Fourier Espalhamento Teoria de Espalhamento(Scattering) Unicidade do Problema de Cauchy Funcional de Dirichlet-Neumann Complex asymptotically hyperbolic manifold conformally compact manifolds Rayleigh waves resonances transmission problem Funcional Dirichlet-Neumann Hypergeometric distribution Atividades de Ruy Luis Gomes no Recife spectral Distribution solvability and hypoellpticity subelliptic dispersive estimates existence local solvability sheet problem weak and strong extension boundary value problem well posed problem tteorema de Riesz scattering hypoanalytic Tricomi Operator Fourier Integral operator Quasimodes stabilization decay estimates Schwarzian Derivative