On the derivative nonlinear Schr{\"o}dinger equation on the half line with Robin boundary condition

Phan van Tin

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arXiv · 2102.00727

On the derivative nonlinear Schr{\"o}dinger equation on the half line with Robin boundary condition

Phan van Tin

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Abstract

We consider the Schr\"odinger equation with nonlinear derivative term on $[0,+\infty)$ under Robin boundary condition at $0$. Using a virial argument, we obtain the existence of blowing up solutions and using variational techniques, we obtain stability and instability by blow up results for standing waves.

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Phan van Tin. 2021-02-01. On the derivative nonlinear Schr{\"o}dinger equation on the half line with Robin boundary condition. https://arxiv.org/abs/2102.00727

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