A nonlinearly ill-posed problem of reconstructing the temperature from interior data

Alain Pham Ngoc Dinh; Pham Hoang Quan; Dang Duc Trong

A nonlinearly ill-posed problem of reconstructing the temperature from interior data

Analysis of PDEs 2009-11-11 v1

Authors: Alain Pham Ngoc Dinh , Pham Hoang Quan , Dang Duc Trong

Journal reference: Numerical Functional Analysis and Optimization / Numerical Functional Analysis and Optimization An International Journal 29, 3-4 (2008) 445-469

Comments: 24 pages

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Abstract

We consider the problem of reconstructing, from the interior data $u(x,1)$ , a function $u$ satisfying a nonlinear elliptic equation $\Delta u = f(x,y,u(x,y)), x \in \RR, y > 0.$

Keywords

heat equation

Cite

@article{arxiv.0705.3357,
  title  = {A nonlinearly ill-posed problem of reconstructing the temperature from interior data},
  author = {Alain Pham Ngoc Dinh and Pham Hoang Quan and Dang Duc Trong},
  journal= {arXiv preprint arXiv:0705.3357},
  year   = {2009}
}

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