Global dynamics below a threshold for the nonlinear Schr\"odinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph

DOI10.1007/S42985-024-00274-2arXiv2212.06411MaRDI QIDQ6420367

Takahisa Inui, Ikkei Shimizu, Masahiro Ikeda, Masaru Hamano

Publication date: 13 December 2022

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

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