Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation

An internal boundary value problem deals with the problem of determining the solution of an equation, if data are given on two manifolds. One manifold is the domain boundary and the other manifold is situated inside the domain. This monograph in the Inverse and Ill-Posed Problems Series studies three essentially ill-posed internally boundary value problems for the biharmonic equation and the Cauchy problem for the abstract biharmonic equation, both qualitatively and quantitatively. In addition, some variants of these problems and the Cauchy problem, as well as the m-dimensional case are considered.This monograph, in which the author introduces some new notions, such as the notion of complete solvability, will be of interest to specialists in mathematical physics.