Generalised solutions to linear and non-linear Schrödinger-type equations with point defect: Colombeau and non-Colombeau regimes

DOI10.1016/j.exmath.2023.125533arXiv2209.07207OpenAlexW4390452417MaRDI QIDQ6197580

Nevena Dugandžija, Ivana Vojnović, Alessandro Michelangeli

Publication date: 20 March 2024

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.07207

zbMATH Keywords

nonlinear Schrödinger equationHartree equationColombeau generalised functionscompatibility of Colombeau solutionsgeneralised functions and distributionsquantum Hamiltonian of point interaction

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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