Well–posedness of the three–dimensional NLS equation with sphere–concentrated nonlinearity
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Publication:6141709
DOI10.1088/1361-6544/ad0aacarXiv2209.13504OpenAlexW4389347757MaRDI QIDQ6141709
Domenico Finco, Alessandro Teta, Lorenzo Tentarelli
Publication date: 20 December 2023
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.13504
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Functional calculus for linear operators (47A60) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Spherical harmonics (33C55) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) PDEs with measure (35R06)
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