Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations with large initial and boundary data

DOI10.1007/s00030-020-0618-yzbMath1437.35628OpenAlexW3007067539MaRDI QIDQ2173289

Takayoshi Ogawa, Nakao Hayashi, Elena I. Kaikina

Publication date: 22 April 2020

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-020-0618-y

zbMATH Keywords

nonlinear Schrödinger equationlarge time asymptoticslarge datainhomogeneous initial-boundary value problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (2)

Stochastic Schrödinger equation with Dirichlet noise boundary conditions ⋮ Asymptotic behavior for the long-range nonlinear Schrödinger equation on the star graph with the Kirchhoff boundary condition

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