## Semiclassical pseudodifferential calculus and the reconstruction of a magnetic field

by
Mikko Salo

Citations: | 11 - 5 self |

### BibTeX

@MISC{Salo_semiclassicalpseudodifferential,

author = {Mikko Salo},

title = {Semiclassical pseudodifferential calculus and the reconstruction of a magnetic field},

year = {}

}

### OpenURL

### Abstract

We give a procedure for reconstructing a magnetic field and electric potential from boundary measurements given by the Dirichlet to Neumann map for the magnetic Schrödinger operator in R n, n ≥ 3. The magnetic potential is assumed to be continuous with L ∞ divergence and zero boundary values. The method is based on semiclassical pseudodifferential calculus and the construction of complex geometrical optics solutions in weighted Sobolev spaces. 1