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

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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 \[ \Delta u = f(x,y,u(x,y)), x \in \RR, y > 0. \]

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ArXiv ID:: 0705.3357

ScienceOpen disciplines: Analysis

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ScienceOpen disciplines: Analysis

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

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