Stability properties of standing waves for NLS equations with the \(\delta^\prime\)-interaction

DOI10.1016/J.PHYSD.2020.132332zbMath1490.35389OpenAlexW2999890928WikidataQ122112573 ScholiaQ122112573MaRDI QIDQ2115372

Nataliia Goloshchapova, Jaime Angulo Pava

Publication date: 15 March 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2020.132332

zbMATH Keywords

nonlinear Schrödinger equationorbital stabilityself-adjoint extensiondeficiency indicesSturm-Liouville theorybump solutions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbations in context of PDEs (35B20) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items (4)

Standing waves on quantum graphs ⋮ Dynamical and variational properties of the NLS-\( \delta'_s\) equation on the star graph ⋮ Secondary bifurcations in semilinear ordinary differential equations ⋮ Nonlinear dispersive equations: classical and new frameworks

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