The field of inverse problems is an important and rapidly developing direction in mathematical physics, differential equations and various applied techlogies. This volume in the Inverse and Ill-Posed Problems series focuses on direct and inverse problems for partial differential equations. The type of equations considered are hyperbolic, elliptic and mixed (elliptic-hyperbolic). The direct problems arise as generalizations from the inhomogeneous layer (or from the half-space). The inverse problems are those of determining medium parameters by giving the forms of incident and reflected waves or by giving the vibrations of certain points of the medium. The research method used of all inverse problems is spectral-analytical, consisting in reducing the considered inverse problems to kw inverse problems for the Sturm-Liouville equation or for the string equation. Discrete inverse problems are also considered in this volume. In these problems an arbitrary set of point sources (emissive sources, oscillators, point masses) are determined.
Alexander G. Megrabov, Institute of Computational Mathematics and Mathematical Geophysics, Russian Academy of Sciences, Novosibirsk, Russia.