Well‐posedness, smooth dependence and centre manifold reduction for a semilinear hyperbolic system from laser dynamics

DOI10.1002/mma.816zbMath1161.35033OpenAlexW1977892515MaRDI QIDQ5297151

Mark Lichtner, Lutz Recke, Mindaugas Radziunas

Publication date: 18 July 2007

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.816

zbMATH Keywords

weak solutionscenter manifoldWell-posednesssmooth semiflow

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) PDEs with low regular coefficients and/or low regular data (35R05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Invariant manifold theory for dynamical systems (37D10)

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