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math.AP2016
Logarithmic stability inequality in an inverse source problem for the heat equation on a waveguide
Yavar Kian, Diomba Sambou, Eric Soccorsi
We prove logarithmic stability in the parabolic inverse problem of determining the space-varying factor in the source, by a single partial boundary measurement of the solution to t…
math-ph2016
Eigenvalues behaviours for self-adjoint Pauli operators with unsigned perturbations and admissible magnetic fields
Diomba Sambou, Amal Taarabt
We investigate the behaviour of the eigenvalues of two-dimensional Pauli operators with nonconstant magnetic fields perturbed by a sign-indefinite decaying electric potential V. We…