Ill-posed internal boundary value problems for the biharmonic equation

著者

• Atakhodzhaev, M. A. (Mukarram Atakhodzhaevich)

書誌事項

Ill-posed internal boundary value problems for the biharmonic equation

M.A. Atakhodzhaev

（Inverse and ill-posed problems series）

VSP, 2002

内容説明・目次

内容説明

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.

目次

Introduction The first internal boundary value problem An example of nonuniqueness The first internal boundary value problem in a disk The first internal boundary value problem in a half-strip The first internal boundary value problem in the half-plane The first internal boundary value problem in rectangles The first internal boundary value problem for star-like domains The second internal boundary value problem The second internal boundary value problem in a convex domain The second internal boundary value problem in the half-plane The second internal boundary value problem in a rectangle The third internal boundary value problem IBVP 3 in a convex domain IBVP 3 in a rectangle Internal boundary value problems and the Cauchy problem for the abstract biharmonic equation Internal boundary value problems The Cauchy problem Appendices Bibliography

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詳細情報

• NII書誌ID(NCID): BA57549254
• ISBN:
  • 9067643653
• 出版国コード: ne
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Utrecht ; Tokyo
• ページ数/冊数: viii, 158 p.
• 大きさ: 25 cm
• 親書誌ID:
  • BA2420606X