| Abstract: |
| In this talk we consider the defocusing inhomogeneous cubic nonlinear Schr\odinger 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 sufficient conditions to ensure existence and uniqueness of global solutions for $n$ sufficiently large, as well as homogenization. |
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