Time-averaging under fast periodic forcing of parabolic partial differential equations: Exponential estimates

DOI10.1006/jdeq.2000.3934zbMath1023.35055OpenAlexW2083414029MaRDI QIDQ5944085

Karsten Matthies

Publication date: 28 October 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: http://opus.bath.ac.uk/7452/1/aver.pdf

zbMATH Keywords

exponential small errors

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Averaging method for ordinary differential equations (34C29) Perturbations in context of PDEs (35B20)

Related Items (10)

Stabilizing effect of large average initial velocity in forced dissipative PDEs invariant with respect to Galilean transformations ⋮ Runge-Kutta time semidiscretizations of semilinear PDEs with non-smooth data ⋮ \(L^{p}\)-strong convergence of the averaging principle for slow-fast SPDEs with jumps ⋮ Unnamed Item ⋮ Temporal smoothing -- a step forward for time-spectral methods ⋮ Strong convergence in stochastic averaging principle for two time-scales stochastic partial differential equations ⋮ On full two-scale expansion of the solutions of nonlinear periodic rapidly oscillating problems and higher-order homogenised variational problems ⋮ An averaging principle for neutral stochastic functional differential equations driven by Poisson random measure ⋮ Backward error analysis of a full discretization scheme for a class of semilinear parabolic partial differential equations ⋮ Exponential averaging for Hamiltonian evolution equations

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