2 3 M ay 2 00 7 A nonlinearly ill - posed problem of reconstructing the temperature from interior data ∗
نویسنده
چکیده
We consider the problem of reconstructing, from the interior data u(x, 1), a function u satisfying a nonlinear elliptic equation ∆u = f(x, y, u(x, y)), x ∈ R, y > 0. The problem is ill-posed. Using the method of Green function, the method of Fourier transforms and the method of truncated high frequencies, we shall regularize the problem. Error estimate is given.
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تاریخ انتشار 2008