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

Fan, Chenjie

doi:10.1016/j.anihpc.2016.11.002

Fan, Chenjie

Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 6, pp. 1429-1482.

Résumé
Abstract

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.

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

MR Zbl

DOI : 10.1016/j.anihpc.2016.11.002

Classification : 35Q55, 35B44
Mots clés : NLS, log–log blow up, m points blow up, Bootstrap, Propagation of regularity, Topological argument

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     author = {Fan, Chenjie},
     title = {log{\textendash}log blow up solutions blow up at exactly m points},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1429--1482},
     publisher = {Elsevier},
     volume = {34},
     number = {6},
     year = {2017},
     doi = {10.1016/j.anihpc.2016.11.002},
     mrnumber = {3712007},
     zbl = {1382.35263},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/j.anihpc.2016.11.002/}
}

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Fan, Chenjie. log–log blow up solutions blow up at exactly m points. Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 6, pp. 1429-1482. doi : 10.1016/j.anihpc.2016.11.002. http://www.numdam.org/articles/10.1016/j.anihpc.2016.11.002/

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