Browsing Mathematics, Statistics, and Physics by Subject "Carleman estimate"
Now showing items 1-2 of 2
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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.