A system of Schrödinger equations in a wave guide

DOI10.1063/5.0147011OpenAlexW4388492719MaRDI QIDQ6064796

Julien Royer, Unnamed Author, Unnamed Author

Publication date: 11 December 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0147011

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exponential decay for the Schrödinger equation on a dissipative waveguide
• Stabilization of the wave equation by the boundary
• Stabilization of the wave equation in an exterior domain
• Stabilization of trajectories for some weakly damped hyperbolic equations
• Boundary stabilization of the wave and Schrödinger equations in exterior domains
• On the asymptotic behavior of solutions of semi-linear wave equations
• Local energy decay of the wave equation in an exterior problem and without resonance in the neighborhood of the real line
• Energy decay and diffusion phenomenon for the asymptotically periodic damped wave equation
• On series with respect to root vectors of operators associated with forms having symmetric principal part
• Maximal quasi-accretive Laplacians on finite metric graphs
• Local energy decay for the damped wave equation
• Energy decay for damped wave equations on partially rectangular domains
• Sharp polynomial decay rates for the damped wave equation on the torus
• Local energy decay for several evolution equations on asymptotically euclidean manifolds
• Low Frequency Estimates and Local Energy Decay for Asymptotically Euclidean Laplacians
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• One-Parameter Semigroups for Linear Evolution Equations
• Energy decay in a wave guide with dissipation at infinity
• LOCAL DECAY FOR THE DAMPED WAVE EQUATION IN THE ENERGY SPACE
• Stabilization of Schrödinger equation in exterior domains
• Non-self-adjoint graphs
• Solutions of the wave equation with localized energy
• Spectrum of a non-selfadjoint quantum star graph

This page was built for publication: A system of Schrödinger equations in a wave guide