Construction of log-log blowup solutions for the mass critical nonlinear Schrödinger equation
Chenjie Fan
Academy of Mathematics and Systems Science, Beijing, ChinaDana Mendelson
University of Chicago, USA
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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. 26 (2024), no. 5, pp. 1795–1849
DOI 10.4171/JEMS/1314