International Journal of Modern Nonlinear Theory and Application

Volume 5, Issue 3 (September 2016)

ISSN Print: 2167-9479   ISSN Online: 2167-9487

Google-based Impact Factor: 0.27  Citations  

On the Stability of the Defocusing Mass-Critical Nonlinear Schrödinger Equation

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DOI: 10.4236/ijmnta.2016.53012    1,427 Downloads   2,209 Views  
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ABSTRACT

We consider the defocusing mass-critical nonlinear Schr?dinger equation in the exterior domain in (). By analyzing Strichartz estimate and utilizing the inductive hypothesis method, we prove the stability for all initial data in .

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Zhang, G. (2016) On the Stability of the Defocusing Mass-Critical Nonlinear Schrödinger Equation. International Journal of Modern Nonlinear Theory and Application, 5, 115-121. doi: 10.4236/ijmnta.2016.53012.

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