JournalsprimsVol. 46, No. 4pp. 741–754

Uniform Resolvent Estimates for Magnetic Schrödinger Operators and Smoothing Effects for Related Evolution Equations

  • Kiyoshi Mochizuki

    Chuo University, Tokyo, Japan
Uniform Resolvent Estimates for Magnetic Schrödinger Operators and Smoothing Effects for Related Evolution Equations cover

Abstract

We prove uniform resolvent estimates for the magnetic Schrödinger operator in an exterior domain under smallness conditions on the magnetic fields and the scalar potential. The results are then used to obtain smoothing eff ects for the corresponding Schrödinger and Klein–Gordon evolution equations.

Cite this article

Kiyoshi Mochizuki, Uniform Resolvent Estimates for Magnetic Schrödinger Operators and Smoothing Effects for Related Evolution Equations. Publ. Res. Inst. Math. Sci. 46 (2010), no. 4, pp. 741–754

DOI 10.2977/PRIMS/24