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

  • Chenjie Fan

    Academy of Mathematics and Systems Science, Beijing, China
  • Dana Mendelson

    University of Chicago, USA
Construction of $L^2$ log-log blowup solutions for the mass critical nonlinear Schrödinger equation cover

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Abstract

In this article, we study the log-log blowup dynamics for the mass critical nonlinear Schrödinger equation on under rough but structured random perturbations at regularity. In particular, by employing probabilistic methods, we provide a construction of a family of regularity solutions which do not lie in for any , and which blowup according to the log-log dynamics.

Cite this article

Chenjie Fan, Dana Mendelson, Construction of log-log blowup solutions for the mass critical nonlinear Schrödinger equation. J. Eur. Math. Soc. (2023), published online first

DOI 10.4171/JEMS/1314