JournalsprimsVol. 43, No. 4pp. 1183–1197

On Decay-nondecay and Scattering for Schrödinger Equations with Time Dependent Complex Potentials

  • Kiyoshi Mochizuki

    Chuo University, Tokyo, Japan
  • Takahiro Motai

    Tokyo University of Foreign Studies, Japan
On Decay-nondecay and Scattering for Schrödinger Equations with Time Dependent Complex Potentials cover
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Abstract

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. 1183–1197

DOI 10.2977/PRIMS/1201012385