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

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

2007-05-23

arxiv.org/abs/0705.3357v1

Numerical Functional Analysis and Optimization / Numerical Functional Analysis and Optimization An International Journal 29, 3

Mathematics

Analysis of PDEs

24 pages

Scientific paper

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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