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

Alain Pham Ngoc Dinh (MAPMO); Dang Duc Trong; Pham Hoang Quan

arxiv: 0705.3357 · v1 · submitted 2007-05-23 · 🧮 math.AP

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

Alain Pham Ngoc Dinh (MAPMO) , Pham Hoang Quan , Dang Duc Trong This is my paper

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keywords datainteriorproblemreconstructingconsiderdeltaellipticequation

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

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