Standing waves and global well-posedness for the 2d Hartree equation with a point interaction
DOI10.1080/03605302.2024.2338534arXiv2204.05053OpenAlexW4395704291MaRDI QIDQ6396209
Raffaele Scandone, Alessandro Michelangeli, Vladimir Georgiev
Publication date: 11 April 2022
Full work available at URL: https://doi.org/10.1080/03605302.2024.2338534
Smoothness and regularity of solutions to PDEs (35B65) Variational methods involving nonlinear operators (47J30) Singular perturbations in context of PDEs (35B25) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Nonlinear evolution equations (47J35) Symmetries, invariants, etc. in context of PDEs (35B06) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Special quantum systems, such as solvable systems (81Q80)
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