TY - JOUR
T1 - Determining a magnetic Schrödinger operator from partial cauchy data
AU - Ferreira, David Dos Santos
AU - Kenig, Carlos E.
AU - Sjöstrand, Johannes
AU - Uhlmann, Gunther
PY - 2007/4
Y1 - 2007/4
N2 - In this paper we show, in dimension n ≥ 3, that knowledge of the Cauchy data for the Schrödinger equation in the presence of a magnetic potential, measured on possibly very small subsets of the boundary, determines uniquely the magnetic field and the electric potential. We follow the general strategy of [7] using a richer set of solutions to the Dirichlet problem that has been used in previous works on this problem.
AB - In this paper we show, in dimension n ≥ 3, that knowledge of the Cauchy data for the Schrödinger equation in the presence of a magnetic potential, measured on possibly very small subsets of the boundary, determines uniquely the magnetic field and the electric potential. We follow the general strategy of [7] using a richer set of solutions to the Dirichlet problem that has been used in previous works on this problem.
UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000244677400006
UR - https://openalex.org/W2592028842
UR - https://www.scopus.com/pages/publications/33847670175
U2 - 10.1007/s00220-006-0151-9
DO - 10.1007/s00220-006-0151-9
M3 - Journal Article
SN - 0010-3616
VL - 271
SP - 467
EP - 488
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 2
ER -