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- W4307083857 abstract "The eigenfrequencies associated to a scalar damped wave equation are known to belong to a band parallel to the real axis. In [Sj{o}00] J. Sj{o}strand showed that up to a set of density 0, the eigenfrequencies are confined in a thinner band determined by the Birkhoff limits of the damping term. In this article we show that this result is still true for a vectorial damped wave equation. In this setting the Lyapunov exponents of the cocycle given by the damping term play the role of the Birkhoff limits of the scalar setting." @default.
- W4307083857 created "2022-10-24" @default.
- W4307083857 creator A5030246894 @default.
- W4307083857 date "2021-11-17" @default.
- W4307083857 modified "2023-10-09" @default.
- W4307083857 title "Spectral asymptotics for the vectorial damped wave equation" @default.
- W4307083857 doi "https://doi.org/10.48550/arxiv.2111.08982" @default.
- W4307083857 hasPublicationYear "2021" @default.
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