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Article Dans Une Revue Journal of Mathematical Physics Année : 2021

ON THE DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION ON THE HALF LINE WITH ROBIN BOUNDARY CONDITION

Résumé

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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Dates et versions

hal-03024660 , version 1 (25-11-2020)
hal-03024660 , version 2 (29-11-2020)
hal-03024660 , version 3 (09-12-2020)
hal-03024660 , version 4 (18-12-2020)
hal-03024660 , version 5 (29-01-2021)
hal-03024660 , version 6 (06-02-2021)
hal-03024660 , version 7 (22-02-2021)
hal-03024660 , version 8 (27-09-2021)
hal-03024660 , version 9 (21-03-2022)

Identifiants

Citer

Phan van Tin. ON THE DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION ON THE HALF LINE WITH ROBIN BOUNDARY CONDITION. Journal of Mathematical Physics, 2021, ⟨10.1063/5.0049337⟩. ⟨hal-03024660v9⟩
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