Dispersive waves with multiple tunnel effect on a star-shaped network

DOI10.3934/dcdss.2013.6.783zbMath1345.35059OpenAlexW2330669171MaRDI QIDQ1942806

Felix Ali Mehmeti, Virginie Régnier, Robert Haller-Dintelmann

Publication date: 14 March 2013

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2013.6.783

zbMATH Keywords

resolventnetworksevolution equationsspectral theoryfunctional calculusgeneralized eigenfunctions

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

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