Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation / / Mukarram A. Atakhodzhaev.

• Superior document: Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
• VerfasserIn: Atakhodzhaev, Mukarram A.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2014]; ©2002
• Year of Publication: 2014
• Edition: Reprint 2014
• Language: English
• Series: Inverse and Ill-Posed Problems Series , 35
• Physical Description: 1 online resource (158 p.)
• Other title: Frontmatter --; Preface --; Contents --; Introduction --; Chapter 1. The first internal boundary value problem --; Chapter 2. The second internal boundary value problem --; Chapter 3. The third internal boundary value problem --; Chapter 4. Internal boundary value problems and the Cauchy problem for the abstract biharmonic equation --; Chapter 5. Appendices --; Bibliography
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110944815; 9783110238570; 9783110238471; 9783110637205
• ISSN: 1381-4524
• DOI: 10.1515/9783110944815
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Mukarram A. Atakhodzhaev.

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.