A remark on norm inflation with general initial data for the cubic nonlinear Schrödinger equations in negative Sobolev spaces

27 Sep 2015  ·  Tadahiro Oh ·

In this note, we consider the ill-posedness issue for the cubic nonlinear Schr\"odinger equation. In particular, we prove norm inflation based at every initial condition in negative Sobolev spaces below or at the scaling critical regularity...

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Analysis of PDEs 35Q55