Microlocal analysis of forced waves
Semyon Dyatlov, Maciej Zworski · Pure and Applied Analysis · 2019
We use radial estimates for pseudodifferential operators to describe long-time evolution of solutions to [math] , where [math] is a self-adjoint zeroth-order pseudodifferential operator satisfying hyperbolic dynamical assumptions and where [math] is smooth. This is motivated by recent results of Colin de Verdière and Saint-Raymond (2019) concerning a microlocal model of internal waves in stratified fluids.