Application of spectral deformation to the Vlasov–Poisson system. II. Mathematical results

DOI10.1063/1.528465zbMath0711.35107OpenAlexW2055117815MaRDI QIDQ3496661

John David Crawford, Peter D. Hislop

Publication date: 1989

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528465

zbMATH Keywords

initial-value problemspectral deformationspectral resonancesVlasov-Poisson operator

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) PDEs in connection with quantum mechanics (35Q40)

Related Items

Asymptotic stability of solitary waves, Application of the method of spectral deformation to the Vlasov-Poisson system, Amplitude equations for electrostatic waves: Multiple species

Cites Work

• Plasma oscillations
• Application of the method of spectral deformation to the Vlasov-Poisson system
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• Sharp exponential bounds on resonances states and width of resonances
• Puiseux series for resonances at an imbedded eigenvalue
• A class of analytic perturbations for one-body Schrödinger Hamiltonians
• Linearized Plasma Oscillations in Arbitrary Electron Velocity Distributions
• Transverse plasma oscillations
• On non-Landau damped solutions to the linearized vlasov equation
• Derivation of the phenomenological equations from the master equation