Dynamics of Resonances for 0th Order Pseudodifferential Operators
نویسندگان
چکیده
We study the dynamics of resonances analytic perturbations 0th order pseudodifferential operators P(s). In particular, we prove a Fermi golden rule for P(s) at embedded eigenvalues $$P=P(0)$$ . answer question on generic absence asked by Colin de Verdière (Anal PDE 13:1521–1537, 2020). also $$P+it\Delta $$ as converge to simple P. The consider satisfy natural dynamical assumptions and are used microlocal models internal waves.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2022
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-022-04327-8