Scattering Resonances for a Two-Dimensional Potential Well with a Thick Barrier

DOI10.1137/140952053zbMath1321.35119OpenAlexW2068792178MaRDI QIDQ5253465

Junshan Lin, Fadil Santosa

Publication date: 26 May 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/cb9e336ea91913da5a142258b865213901860ecb

zbMATH Keywords

Schrödinger operatorspectrumperturbation analysisresonancebound state

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Scattering theory for PDEs (35P25) Diffraction, scattering (78A45) Schrödinger operator, Schrödinger equation (35J10) Perturbations in context of PDEs (35B20) Resonance in context of PDEs (35B34)

Related Items (7)

Bounds on ratios of modified Bessel functions with complex arguments ⋮ Asymptotic analysis of resonances of small volume high contrast linear and nonlinear scatterers ⋮ Convergence Rates for Defect Modes in Large Finite Resonator Arrays ⋮ Perturbation of the scattering resonances of an open cavity by small particles. I: The transverse magnetic polarization case ⋮ A perturbation approach for near bound-state resonances of photonic crystal with defect ⋮ Pareto optimization of resonances and minimum-time control ⋮ Defect Resonances of Truncated Crystal Structures

Cites Work

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