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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
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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

Peer review status:UNDER REVIEW

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