3 citations · 3 across the 2 of their papers we have counts for
3 papers
math.AP2021
Minimal mass blow-up solutions for nonlinear Schrödinger equations with a singular potential
Naoki Matsui
We consider the following nonlinear Schrödinger equation with an inverse potential: \[ i\frac{\partial u}{\partial t}+Δu+|u|^{\frac{4}{N}}u\pm\frac{1}{|x|^{2σ}}\log|x|u=0 \] in $\m…
math.AP2020★ 3 cited
Remarks on minimal mass blow up solutions for a double power nonlinear Schrödinger equation
Naoki Matsui
We consider the following nonlinear Schrödinger equation with double power nonlinearity \[ i\frac{\partial u}{\partial t}+Δu+|u|^{\frac{4}{N}}u+|u|^{p-1}u=0,\quad 1<p<1+\frac{4}{N}…
math.AP2020
Minimal mass blow-up solutions for nonlinear Schrödinger equations with an inverse potential
Naoki Matsui
We consider the following nonlinear Schrödinger equation with an inverse potential: \[ i\frac{\partial u}{\partial t}+Δu+|u|^{\frac{4}{N}}u\pm\frac{1}{|x|^{2σ}}u=0 \] in $\mathbb{R…