The Influence of the Tunnel Effect on L ∞-time Decay

DOI10.1007/978-3-0348-0297-0_2zbMath1257.35041arXiv1104.2993OpenAlexW207831415MaRDI QIDQ3143970

Virginie Régnier, Felix Ali Mehmeti, Robert Haller-Dintelmann

Publication date: 6 December 2012

Published in: Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.2993

zbMATH Keywords

networksKlein-Gordon equationstationary phase method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (4)

Stability of propagation features under time-asymptotic approximations for a class of dispersive equations ⋮ Energy Flow Above the Threshold of Tunnel Effect ⋮ Multiple tunnel effect for dispersive waves on a star-shaped network: an explicit formula for the spectral representation ⋮ Time decay estimates for wave equations with transmission and boundary conditions

Cites Work

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• Multiple tunnel effect for dispersive waves on a star-shaped network: an explicit formula for the spectral representation
• Parabolic systems with coupled boundary conditions
• \(L^p-L^q\) estimates for the Klein-Gordon equation
• Dispersive waves with multiple tunnel effect on a star-shaped network
• The eigenvalues of the Laplacian on locally finite networks
• Delayed reflection of the energy flow at a potential step for dispersive wave packets
• Wave Equation in Halfspace and in Two Adjacent Wedges
• Spectral theory and L∞‐time decay estimates for Klein–Gordon equations on two half axes with transmission: The tunnel effect

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