Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems

515.353

Bellassoued, Mourad. Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems by Mourad Bellassoued, Masahiro Yamamoto. -
XII, 260 p. 7 illus., 2 illus. in color. online resource. - (Springer Monographs in Mathematics, ) Content notes : 1. Basics of Carleman estimates -- 2. Basic tools of Riemannian geometry -- 3. Well-posedness and regularity of the wave equation with variable coefficients -- 4. Carleman estimate of the wave equation in a Riemannian manifold -- 5. Inverse problem and Exact controllability for the wave equation in a Riemannian manifold -- 6. Carleman estimates for some thermoelasticity systems -- 7. Inverse heat source problem for the thermoelasticity system with variable coefficients -- 8. New realization of the pseudoconvexity -- 9. Stability in an inverse problem for a hyperbolic equation with a finite set of boundary data -- 10. Global Carleman estimate for the Laplace-Beltrami operator with an extra elliptic variable and applications. 9784431566007 * Differential equations, partial. Functional analysis. Global differential geometry. Cell aggregation - Mathematics. Partial Differential Equations. Functional Analysis. Differential Geometry. Manifolds and Cell Complexes (incl. Diff.Topology). Mathematical Physics. * Yamamoto, Masahiro., aut, http://id.loc.gov/vocabulary/relators/aut * Title * Series