Ill Posed Internal Boundary Value Problems For The Biharmonic Equation

Download or read book Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation written by Mukarram A. Atakhodzhaev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-07-24 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Internal boundary value problems 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 studies three essentially ill-posed internal 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. The author introduces some new notions, such as the notion of complete solvability.