The essential spectrum of advective equations

Details The essential spectrum of advective equations The essential spectrum of advective equations

2004-12-07

arxiv.org/abs/math-ph/0412019v2

Comm. Math. Phys., 265/2 (2006), 507--545

Physics

Mathematical Physics

This replaces the earlier version of the paper. The content of the original submission appeared in two publications -- this pr

Scientific paper

10.1007/s00220-006-1537-4

A description of the essential spectrum is given for a general class of linear advective PDE with pseudodifferential bounded perturbation. We prove that every point in the Sacker-Sell spectrum of the corresponding bicharacteristic-amplitude system exponentiates into the spectrum of PDE. Exact spectral pictures are found in various cases. Applications to instability are presented.

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