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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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      Author and article information

      Journal
      23 May 2007
      0705.3357
      Custom metadata
      47J06, 35J60, 42A38, 47H10
      Numerical Functional Analysis and Optimization / Numerical Functional Analysis and Optimization An International Journal 29, 3-4 (2008) 445-469
      24 pages
      math.AP
      ccsd hal-00092402

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