Asymptotically stable invariant tori of a vector field \(V(x)\) and the quasimodes of the operators \(V(x) \cdot \nabla- \varepsilon \Delta\)

DOI10.1007/BF02304111zbMath0874.35101MaRDI QIDQ1916624

Victor Martines Olive, S. Yu. Dobrokhotov, Vassili N. Kolokol'tsov

Publication date: 10 November 1997

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

approximate eigenfunctionsinvariant tori of a vector field

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (1)

Spectrum and pseudospectrum of non-self-adjoint Schrödinger operators with periodic coefficients

Cites Work

• The spectrum of positive elliptic operators and periodic bicharacteristics
• On the construction of quasimodes associated with stable periodic orbits
• Modes and quasimodes
• Large Deviations in Dynamical Systems and Stochastic Processes
• Multiple wells in the semi-classical limit I
• Asymptotic probabilities and differential equations
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