We consider the Schrödinger equations with time dependent complex potentials. Under suitable space-time decaying conditions on the potential we treat _L_2 decay-nondecay of solutions and also develop a scattering theory.
Cite this article
Kiyoshi Mochizuki, Takahiro Motai, On Decay-nondecay and Scattering for Schrödinger Equations with Time Dependent Complex Potentials. Publ. Res. Inst. Math. Sci. 43 (2007), no. 4, pp. 1183–1197DOI 10.2977/PRIMS/1201012385