Abstract
In this paper, the asymptotic behavior in time of solutions for the nonlinear Schrödinger equation with the quadratic nonlinearity $\lambda |u|^2$ with $\lambda \in {\mathbb C} \setminus \{ 0 \}$ in two space dimensions is studied. The nonexistence of asymptotically free solutions for this equation is proved.
Citation
Akihiro Shimomura. "Nonexistence of asymptotically free solutions for quadratic nonlinear Schrödinger equations in two space dimensions." Differential Integral Equations 18 (3) 325 - 335, 2005. https://doi.org/10.57262/die/1356060222
Information
