Publications of the Research Institute for Mathematical Sciences
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Published online: 2010-11-18
Uniform Resolvent Estimates for Magnetic Schrödinger Operators and Smoothing Effects for Related Evolution EquationsKiyoshi Mochizuki (1) Chuo University, Tokyo, Japan
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 effects for the corresponding Schrödinger and Klein–Gordon evolution equations.
Keywords: Magnetic Schrödinger operator, smoothing
Mochizuki Kiyoshi: Uniform Resolvent Estimates for Magnetic Schrödinger Operators and Smoothing Effects for Related Evolution Equations. Publ. Res. Inst. Math. Sci. 46 (2010), 741-754. doi: 10.2977/PRIMS/24