Spectral theory and L∞‐time decay estimates for Klein–Gordon equations on two half axes with transmission: The tunnel effect

DOI10.1002/mma.1670170904zbMath0803.35115OpenAlexW2067321298MaRDI QIDQ4298303

Felix Ali Mehmeti

Publication date: 29 August 1994

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

Full work available at URL: https://doi.org/10.1002/mma.1670170904

zbMATH Keywords

wave equationFriedrichs extensionKlein-Gordon equationstransmission condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Wave scattering in solid mechanics (74J20) Series solutions to PDEs (35C10) PDEs in connection with quantum mechanics (35Q40)

Related Items (10)

Dispersive effects for the Schrödinger equation on the tadpole graph ⋮ On the existence of some integral transforma as weak functions ⋮ Lossless error estimates for the stationary phase method with applications to propagation features for the Schrödinger equation ⋮ Retarded reflection of dispersive wave packets in a star-shaped network ⋮ Global existence and causality for a hyperbolic transmission problem with a repulsive nonlinearity ⋮ Energy Flow Above the Threshold of Tunnel Effect ⋮ Delayed reflection in a stratified acoustic strip ⋮ 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 ⋮ The Influence of the Tunnel Effect on L ∞-time Decay

Cites Work

• Scattering theory for the d'Alembert equation in exterior domains
• Mixed boundary value problems of the type of Sommerfeld's half-plane problem
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