Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems

1. Basics of Carleman Estimates
Mourad Bellassoued, Masahiro Yamamoto

2. Basic Tools of Riemannian Geometry
Mourad Bellassoued, Masahiro Yamamoto

3. Well-Posedness and Regularity for the Wave Equation with Variable Coefficients
Mourad Bellassoued, Masahiro Yamamoto

4. Carleman Estimate for the Wave Equation on a Riemannian Manifold
Mourad Bellassoued, Masahiro Yamamoto

5. Inverse Problems for Wave Equations on a Riemannian Manifold
Mourad Bellassoued, Masahiro Yamamoto

6. Realization of the Convexity of the Weight Function
Mourad Bellassoued, Masahiro Yamamoto

7. Carleman Estimates for Some Thermoelasticity Systems
Mourad Bellassoued, Masahiro Yamamoto

8. Inverse Heat Source Problem for the Thermoelasticity System
Mourad Bellassoued, Masahiro Yamamoto

9. Inverse Problem for a Hyperbolic Equation with a Finite Set of Boundary Data
Mourad Bellassoued, Masahiro Yamamoto

10. Supplementary Research Problems
Mourad Bellassoued, Masahiro Yamamoto

Nyckelord: Mathematics, Partial Differential Equations, Functional Analysis, Differential Geometry, Manifolds and Cell Complexes (incl. Diff.Topology), Mathematical Physics