Spectral analysis of \(\theta\)-periodic Schrödinger operators and applications to periodic waves

DOI10.1016/j.jde.2017.10.018zbMath1385.53073OpenAlexW2767552149MaRDI QIDQ1678257

Soyeun Jung, Peter Howard

Publication date: 14 November 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.10.018

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Lagrangian submanifolds; Maslov index (53D12) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items

The Maslov index and spectral counts for linear Hamiltonian systems on \([0, 1\)]

Cites Work

• Unnamed Item
• Pointwise nonlinear stability of nonlocalized modulated periodic reaction-diffusion waves
• Pointwise asymptotic behavior of modulated periodic reaction-diffusion waves
• Fredholm-Lagrangian-Grassmannian and the Maslov index
• Spectral analysis for periodic solutions of the Cahn-Hilliard equation on \(\mathbb R\)
• Spectral analysis of stationary solutions of the Cahn-Hilliard equation
• The Maslov index: A functional analytical definition and the spectral flow formula
• The Maslov index for paths
• The Maslov index and spectral counts for linear Hamiltonian systems on \([0, 1\)]
• The Maslov index for Lagrangian pairs on \(\mathbb{R}^{2 n}\)
• The Maslov and Morse indices for Schrödinger operators on \([0,1\)]
• An overview of periodic elliptic operators
• Counting spectrum via the Maslov index for one dimensional $\theta -$periodic Schrödinger operators
• On the maslov index
• Self-Adjoint Fredholm Operators And Spectral Flow
• The Morse and Maslov indices for matrix Hill's equations