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Asymptotics and blow-up for mass critical nonlinear dispersive equations

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Abstract

The author considers mass critical nonlinear Schrödinger and Korteweg-de Vries equations. A review on results related to the blow-up of solution of these equations is given.

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Authors and Affiliations

  1. Université de Cergy-Pontoise, Mathématiques, CNRS, F-95000, Cergy-Pontoise, France

    Frank Merle

  2. Institut des Hautes Études Scientifiques, 35 Route de Chartres, 91440, Bures-sur-Yvette, France

    Frank Merle

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  1. Frank Merle
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Correspondence to Frank Merle.

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Dedicated to Professor Haïm Brezis on the occasion of his 70th birthday

This work was supported by the E.R.C. Advanced Grant (No. 291214) BLOWDISOL.

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Merle, F. Asymptotics and blow-up for mass critical nonlinear dispersive equations. Chin. Ann. Math. Ser. B 38, 579–590 (2017). https://doi.org/10.1007/s11401-017-1084-7

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  • DOI: https://doi.org/10.1007/s11401-017-1084-7

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