Self-similar blowup for mass supercritical Schr\"odinger equations

Roland Donninger; Lorenz Lichtnecker

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arXiv · 2509.16600

Self-similar blowup for mass supercritical Schr\"odinger equations

Roland Donninger·Lorenz Lichtnecker

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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.

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Roland Donninger, Lorenz Lichtnecker. 2025-09-20. Self-similar blowup for mass supercritical Schr\"odinger equations. https://arxiv.org/abs/2509.16600

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