TY - JOUR
T1 - Partial data inverse problems for nonlinear magnetic Schrödinger equations
AU - Lai, Ru Yu
AU - Zhou, Ting
N1 - Publisher Copyright:
© 2023 International Press, Inc.. All rights reserved.
PY - 2023
Y1 - 2023
N2 - We prove that the knowledge of the Dirichlet-to-Neumann map, measured on a part of the boundary of a bounded domain in Rn, n ≥ 2, can uniquely determine, in a nonlinear magnetic Schrödinger equation, the vector-valued magnetic potential and the scalar electric potential, both being nonlinear in the solution.
AB - We prove that the knowledge of the Dirichlet-to-Neumann map, measured on a part of the boundary of a bounded domain in Rn, n ≥ 2, can uniquely determine, in a nonlinear magnetic Schrödinger equation, the vector-valued magnetic potential and the scalar electric potential, both being nonlinear in the solution.
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U2 - 10.4310/MRL.2023.V30.N5.A10
DO - 10.4310/MRL.2023.V30.N5.A10
M3 - Article
AN - SCOPUS:85195060165
SN - 1073-2780
VL - 30
SP - 1535
EP - 1563
JO - Mathematical Research Letters
JF - Mathematical Research Letters
IS - 5
ER -