Long time existence for the quadratic wave equation associated to the harmonic oscillator

DOI10.1016/j.na.2015.10.008zbMath1330.35260OpenAlexW2096081079MaRDI QIDQ898366

Qidi Zhang

Publication date: 8 December 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.10.008

zbMATH Keywords

normal formsmall divisor

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items

Lifespan estimates for the semi-linear Klein-Gordon equation with a quadratic potential in dimension one ⋮ A note on lower bound lifespan estimates for semi-linear wave/Klein-Gordon equations associated with the harmonic oscillator ⋮ Partial normal form for the semilinear Klein-Gordon equation with quadratic potentials and algebraic non-resonant masses ⋮ Long-time existence for the semilinear Klein–Gordon equation on a compact boundary-less Riemannian manifold

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