JournalsprimsVol. 53, No. 3pp. 371–393

Smoothing Properties and Scattering for the Magnetic Schrödinger and Klein–Gordon Equations in an Exterior Domain with Time-Dependent Perturbations

  • Kiyoshi Mochizuki

    Chuo University, Tokyo, Japan

  • Sojiro Murai

    University of Electro-Communications, Tokyo, Japan
Smoothing Properties and Scattering for the Magnetic Schrödinger and Klein–Gordon Equations in an Exterior Domain with Time-Dependent Perturbations cover
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Abstract

This paper deals with the existence, smoothing properties and scattering of solutions to the magnetic Schrödinger and Klein–Gordon equations in an exterior domain with time-dependent small perturbations. Smoothing properties based on the resolvent estimates will reinforce the abstract scattering theory developed in [8] (K. Mochizuki, in Proc. 6th ISAAC, World Scientific Publishing, River Edge, NJ, 2009, 476–485), and our concrete problems are treated in this framework.

Cite this article

Kiyoshi Mochizuki, Sojiro Murai, Smoothing Properties and Scattering for the Magnetic Schrödinger and Klein–Gordon Equations in an Exterior Domain with Time-Dependent Perturbations. Publ. Res. Inst. Math. Sci. 53 (2017), no. 3, pp. 371–393

DOI 10.4171/PRIMS/53-3-2