Construction of L2 log-log blowup solutions for the mass critical nonlinear Schrödinger equation

被引：1

作者：

Fan, Chenjie ^{[1
]}

Mendelson, Dana ^{[2
]}

机构：

[1] Acad Math & Syst Sci, Beijing 100080, Peoples R China

[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2024年 / 26卷 / 05期

关键词：

NLS; log-log blowup; random data; GLOBAL WELL-POSEDNESS; DATA CAUCHY-THEORY; SCHRODINGER-EQUATION; WAVE EQUATION; SURE SCATTERING; UP RATE; STATISTICAL-MECHANICS; GIBBS MEASURE; STABILITY; EXISTENCE;

D O I：

10.4171/JEMS/1314

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the log-log blowup dynamics for the mass critical nonlinear Schr & ouml;dinger equation on R-2 under rough but structured random perturbations at L-2(R-2) regularity. In particular, by employing probabilistic methods, we provide a construction of a family of L-2(R-2) regularity solutions which do not lie in H-s(R-2) for any s > 0, and which blowup according to the log-log dynamics.

引用

页码：1795 / 1849

页数：55

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