Threshold even solutions to the nonlinear Schrödinger equation with delta potential at high frequencies

DOI10.3934/dcds.2024054zbMATH Open1546.35205MaRDI QIDQ6592950

Takahisa Inui, Stephen J. Gustafson

Publication date: 26 August 2024

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

nonlinear Schrödinger equationglobal dynamicsthresholdradialDirac delta potential

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44) Symmetries, invariants, etc. in context of PDEs (35B06) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Scattering and blow-up for threshold even solutions to the nonlinear Schrödinger equation with repulsive delta potential at low frequencies

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