Global weak solutions of an initial-boundary value problem on a half-line for the higher order nonlinear Schr\"{o}dinger equation

Andrei V. Faminskii

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arXiv · 2307.13335

Global weak solutions of an initial-boundary value problem on a half-line for the higher order nonlinear Schr\"{o}dinger equation

Andrei V. Faminskii

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Abstract

An initial-boundary value problem with one boundary condition is considered for the higher order nonlinear Schr\"odinger equation. It is assumed that either the boundary condition is homogeneous or the nonlinearity in the equation is quadratic. Results on existence, uniqueness and continuous dependence on input data of global weak solutions are obtained.

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Andrei V. Faminskii. 2023-07-25. Global weak solutions of an initial-boundary value problem on a half-line for the higher order nonlinear Schr\"{o}dinger equation. https://arxiv.org/abs/2307.13335

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