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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 variationaltechniques, we obtain stability and instability by blow up results for standingwaves.

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