Browsing Mathematics, Statistics, and Physics by Subject "Carleman estimate"
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Inverse problem for onedimensional wave equation with matrix potential
(De Gruyter, 20190120)We prove a global uniqueness theorem of reconstruction of a matrixpotential a (x, t) {a(x,t)} of onedimensional 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 twodimensional pseudoRiemannian metrics uniquely constructed by a given curvature
(Elsevier, 201801)We prove a global uniqueness theorem of reconstruction of a twodimensional pseudo metric by a given Gaussian curvature.