Nonlinear Schr\"odinger equation on the half-line with nonlinear boundary condition

zbMath1351.35179arXiv1507.04666MaRDI QIDQ2826955

Türker Özsarı, Ahmet Batal

Publication date: 11 October 2016

Full work available at URL: https://arxiv.org/abs/1507.04666

zbMATH Keywords

nonlinear boundary conditionslocal well-posednessnonlinear Schrödinger equationsinhomogeneous boundary conditions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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