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Record Nr. |
UNINA9910822674003321 |
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Autore |
Atakhodzhaev M. A (Mukarram Atakhodzhaevich) |
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Titolo |
Ill-posed internal boundary value problems for the biharmonic equation / / M.A. Atakhodzhaev |
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Pubbl/distr/stampa |
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Utrecht ; ; Boston : , : VSP, , 2002 |
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ISBN |
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Edizione |
[Reprint 2014] |
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Descrizione fisica |
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1 online resource (166 p.) |
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Collana |
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Inverse and ill-posed problems series, , 1381-4524 |
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Disciplina |
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Soggetti |
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Differential equations, Partial - Improperly posed problems |
Boundary value problems |
Biharmonic equations |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Front matter -- 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 |
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Sommario/riassunto |
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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. |
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