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Abstract
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We use radial estimates for pseudodifferential operators to describe long-time evolution of
solutions to
,
where
is a
self-adjoint zeroth-order pseudodifferential operator satisfying hyperbolic dynamical assumptions
and where
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.
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Dedicated to Richard Melrose on the
occasion of his 70th birthday
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Keywords
forced waves, spectral theory, pseudodifferential
operators, radial estimates
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Mathematical Subject Classification 2010
Primary: 35A27
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Milestones
Received: 3 July 2018
Revised: 18 April 2019
Accepted: 19 April 2019
Published: 17 July 2019
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