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

作者：Mochizuki Kiyoshi^*

来源：Publications of the Research Institute for Mathematical Sciences, 2010, 46(4): 741-754.

DOI：10.2977/PRIMS/24

• magnetic Schrodinger operator
• smoothing

We prove uniform resolvent estimates for the magnetic Schrodinger 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 Schrodinger and Klein-Gordon evolution equations.

• 出版日期2010-12