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- W2112375323 abstract "In this article we survey some basic results for the mag- netic Schrodinger operator with external potential which has a strong singularity. The following topics are treated under suitable decay con- ditions on the magnetic eld and external potential: Selfadjointness of the operator, Growth estimates of generalized eigenfunctions, Princi- ple of limiting absorption, Uniform resolvent estimates, and Smoothing properties for corresponding evolution equations. r v(x) = @1v1(x) + +@nvn(x); r v(x) = (@jvk(x) @kvj(x))1 j<k n forr = (@1; ;@n) and v(x) = (v1(x); ;vn(x)). We also putrb =r + ib(x), b =rbr b, r =jxj, ~ x = x=r and @r = ~ xr . The inner product and" @default.
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- W2112375323 date "2010-01-01" @default.
- W2112375323 modified "2023-09-23" @default.
- W2112375323 title "Resolvent Estimates for Magnetic Schrodinger Operators and Their Applications to Related Evolution Equations" @default.
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