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Blow-up Versus Global Well-posedness for the focusing INLS with inverse-square potential
  • Mingming Deng,
  • Jing Lu,
  • Fanfei Meng
Mingming Deng
Graduate School of China Academy of Engineering Physics

Corresponding Author:[email protected]

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Jing Lu
China Agricultural University
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Fanfei Meng
Institute of Applied Physics and Computational Mathematics
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Abstract

We study the focusing inhomogeneous nonlinear Schr\”odinger equation with inverse-square potential $$ i\partial_tu+\Delta u-\frac{a}{|x|^2}u+|x|^{-b}|u|^{2}u=0, $$ where $a>-\frac14$ and $0
01 Jun 2021Submitted to Mathematical Methods in the Applied Sciences
02 Jun 2021Assigned to Editor
02 Jun 2021Submission Checks Completed
07 Jun 2021Reviewer(s) Assigned
18 Jun 2022Review(s) Completed, Editorial Evaluation Pending
18 Aug 2022Editorial Decision: Accept
19 Sep 2022Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.8690