Eigenmodes of the damped wave equation and small hyperbolic subsets

DOI10.5802/aif.2879zbMath1314.58019arXiv1202.5123OpenAlexW1555110321MaRDI QIDQ486793

Gabriel Rivière

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5123

zbMATH Keywords

topological pressuredamped wave equationeigenmodesnon self adjoint operators

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (max. 100)

Concentration of Laplace eigenfunctions and stabilization of weakly damped wave equation ⋮ Semiclassical asymptotics for nonselfadjoint harmonic oscillators ⋮ Decay of semilinear damped wave equations: cases without geometric control condition ⋮ From resolvent estimates to damped waves ⋮ Damped wave equations on compact hyperbolic surfaces ⋮ Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets

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