Hasanoğlu A.H., Romanov V.G. Introduction to Inverse Problems for Differential Equations

Springer International Publishing AG, 2017. — 264 p.
This book presents a systematic exposition of the main ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though it makes no claim to being exhaustive. Mathematical models of most physical phenomena are governed by initial and boundary value problems for PDEs, and inverse problems governed by these equations arise naturally in nearly all branches of science and engineering.
Introduction Ill-Posedness of Inverse Problems for Differential and Integral Equations
Introduction to Inverse Problems
Functional Analysis Background of Ill-Posed Problems
Inverse Source Problems with Final Overdetermination
Inverse Problems for Differential Equations
Inverse Problems for Hyperbolic Equations
One-Dimensional Inverse Problems for Electrodynamic Equations
Inverse Problems for Parabolic Equations
Inverse Problems for Elliptic Equations
Inverse Problems for the Stationary Transport Equations
The Inverse Kinematic Problem