Averaging principle and hyperbolic evolution equations

DOI10.1016/J.NA.2011.10.034zbMath1253.47050arXiv1110.0385OpenAlexW2066972866WikidataQ96744675 ScholiaQ96744675MaRDI QIDQ412702

Aleksander Ćwiszewski

Publication date: 4 May 2012

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

Full work available at URL: https://arxiv.org/abs/1110.0385

zbMATH Keywords

evolution equationsemigroupaveraging principle

Mathematics Subject Classification ID

General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Abstract hyperbolic equations (35L90) Nonlinear evolution equations (47J35)

Related Items (2)

Stabilizing effect of large average initial velocity in forced dissipative PDEs invariant with respect to Galilean transformations ⋮ Krasnosel'skii type formula and translation along trajectories method on the scale of fractional spaces

Cites Work

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• Periodic solutions of nonlinear hyperbolic evolution systems
• Positive periodic solutions of parabolic evolution problems: a translation along trajectories approach
• Krasnosel'skii type formula and translation along trajectories method for evolution equations
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Attractors and global averaging of non-autonomous reaction-diffusion equations in \({\mathbb R}^N\)
• Averaging, Conley index continuation and recurrent dynamics in almost-periodic parabolic equations

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