JournalsaihpcVol. 34, No. 6pp. 1429–1482

log–log blow up solutions blow up at exactly m points

  • Chenjie Fan

    Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Ave, Cambridge, MA 02139, USA
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Abstract

We study the focusing mass-critical nonlinear Schrödinger equation, and construct certain solutions which blow up at exactly points according to the log–log law.

Résumé

Nous étudions l'équation de Schrödinger non linéaire focalisante de masse critique, et construisons certaines solutions avec exactement m points d'explosion d'après la loi de log–log.

Cite this article

Chenjie Fan, log–log blow up solutions blow up at exactly m points. Ann. Inst. H. Poincaré Anal. Non Linéaire 34 (2017), no. 6, pp. 1429–1482

DOI 10.1016/J.ANIHPC.2016.11.002