2 papers
math.AP2007
A nonlinearly ill-posed problem of reconstructing the temperature from interior data
Alain Pham Ngoc Dinh, Pham Hoang Quan, Dang Duc Trong
We consider the problem of reconstructing, from the interior data , a function satisfying a nonlinear elliptic equation $$ Δu = f(x,y,u(x,y)), x \in \RR, y > 0. $$
math.AP2007
Sinc Approximation of the Heat Distribution on the Boundary of a Two-Dimensional Finite Slab
Alain Pham Ngoc Dinh, Pham Hoang Quan, Dang Duc Trong
We consider the two-dimensional problem of recovering globally in time the heat distribution on the surface of a layer inside of a heat conducting body from two interior temperatur…