On Exponential Asymptotics for Nonseparable Wave Equations III: Approximate Spectral Bands of Periodic Potentials on Strips

DOI10.1137/0152042zbMath0768.35019OpenAlexW2035051918MaRDI QIDQ4012473

Richard E. Meyer, Mei-Chang Shen

Publication date: 27 September 1992

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0152042

zbMATH Keywords

decompositionHamiltonian structureHelmholtz equationshort wavesHamilton-Jacobi theoryapproximate spectrumwave approximationadmissible invariant toroidsapproximation chainFloquet approximationFloquet theory in several dimensions

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

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