Maciej Zworski (Berkeley)
Analytic hypoellipticity of Keldysh operators
Abstract:
For operators modeled by $ P = x_1 D_{x_1}^2+ D_{x_2}^2+a
D_{x_1} $ we show that if $ u $ is smooth and $ Pu$ is analytic then
$ u$ is analytic. This is motivated by the question of analyticity of
quasinormal modes of black holes across event horizons and is a
consequence of a general microlocal result. Joint work with J Galkowski.