Self-similar blowup for mass supercritical Schr\"odinger equations
Analysis of PDEs
2025-09-24 v1 Mathematical Physics
math.MP
Abstract
We consider the focusing nonlinear Schr\"odinger equation in three spatial dimensions with powers close to three and prove the existence of a self-similar solution. This generalizes a previous result on the cubic case and shows that self-similar blowup is stable under perturbations of the equation.
Cite
@article{arxiv.2509.16600,
title = {Self-similar blowup for mass supercritical Schr\"odinger equations},
author = {Roland Donninger and Lorenz Lichtnecker},
journal= {arXiv preprint arXiv:2509.16600},
year = {2025}
}
Comments
22 pages