Abstract
We study the Cauchy problem associated with nonlinear Schrödinger-type equations with a nonlocal term in $\mathbb{R}^n$. Existence and uniqueness of local and global solutions are established in spaces which allow singular initial data. Scattering, asymptotic stability, and decay rates are also proved.
Citation
Vanessa Barros. Ademir Pastor. "Infinite energy solutions for Schrödinger-type equations with a nonlocal term." Adv. Differential Equations 18 (7/8) 769 - 796, July/August 2013. https://doi.org/10.57262/ade/1369057713
Information