Self-similar blowup for mass supercritical Schrödinger equations
Roland Donninger, Lorenz Lichtnecker
公開日: 2025/9/20
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.