We are concerned with the ill-posedness issue for the nonlinear Schrödinger equation with the quadratic nonlinearity μ2 and prove the norm ination in the dimensions 1 ≤ n ≤ 3. This is the extension of the ill-posed result by Kishimoto-Tsugawa  in one dimension and also the remaining case of Iwabuchi-Ogawa .
- Nonlinear Schrödinger equation
- Norm ination
ASJC Scopus subject areas
- Applied Mathematics