An internal boundary value problem deals with the problem of determiningthe solution of an equation, if data are given on two manifolds. Onemanifold is the domain boundary and the other manifold is situatedinside the domain. This monograph in the Inverse and Ill-PosedProblems Series studies three essentially ill-posed internally boundaryvalue problems for the biharmonic equation and the Cauchy problem forthe abstract biharmonic equation, both qualitatively and quantitatively.In addition, some variants of these problems and the Cauchy problem, aswell as the m-dimensional case are considered.
This monograph, in which the author introduces some new notions, such asthe notion of complete solvability, will be of interest to specialistsin mathematical physics.
2002; viii+158 pages ISBN 90-6764-365-3 Price: EUR 102/US$ 137
