Sharp blow-up result for the intercritical Inhomogeneous NLS equation

Yuan Li

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arXiv · 2208.11583

Sharp blow-up result for the intercritical Inhomogeneous NLS equation

Yuan Li

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Abstract

In this paper, we consider the intercritical inhomogeneous nonlinear Schr\"odinger equation. For the radial symmetry initial data, we construct the ring blow-up solutions and obtain blow-up speed. This result implies that the upper bound on the blow-up speed given by Cardoso and Farah [J. Funct. Anal.,281(8) No. 109134, (2021)] is sharp.

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Yuan Li. 2022-08-24. Sharp blow-up result for the intercritical Inhomogeneous NLS equation. https://arxiv.org/abs/2208.11583

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