Masahiro Yamamoto: Introduction to Inverse Problems for Evolution Equations, Kartoniert / Broschiert

Klappentext

• 1. How inverse problems appear and what should we study about inverse problems?.- 2. Application of the multiplier method to an inverse wave source problem.- 3. Inverse problems by Carleman estimates for first-order transport equations.- 4. Inverse problems by Carleman estimates for parabolic equations.- 5. Inverse problems by Carleman estimates for hyperbolic equations.- 6. Conditional stability and convergence rates of the Tikhonov regularization.- 7. Other estimates of Carleman type.- 8. Derivation of Carleman estimates for elliptic equations.