Browsing Mathematics, Statistics, and Physics by Subject "Carleman estimate"
Now showing items 1-3 of 3
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Inverse problem for one-dimensional wave equation with matrix potential
(De Gruyter, 2019-01-20)We prove a global uniqueness theorem of reconstruction of a matrix-potential a (x, t) {a(x,t)} of one-dimensional wave equation □ u + a u = 0 {\square u+au=0}, x > 0, t > 0 {x>0,t>0}, □ = t 2 - x 2 {\square=\partial-{t}^ ... -
Isotropic two-dimensional pseudo-Riemannian metrics uniquely constructed by a given curvature
(Elsevier, 2018-01)We prove a global uniqueness theorem of reconstruction of a two-dimensional pseudo metric by a given Gaussian curvature. -
Scalar and vector tomography for the weighted transport equation with application to helioseismology
(De Gruyter Open Ltd, 2022-04-08)Motivated by the application to helioseismology, we demonstrate uniqueness and stability for a class of inverse problems of the weighted transport equation. Using A-analytic functions, this inverse problem is expressed as ...