Homogenization for the cubic nonlinear Schrödinger equation on ${\mathbb{R}}^2$

Maria Ntekoume

We study the defocusing inhomogeneous mass-critical nonlinear Schrödinger equation on ${\mathbb{R}}^2$ $$i{u}_t+\Delta u=g(nx)|u{|}^{2}u$$ for initial data in $L^2({\mathbb{R}}^2)$. We obtain su…