Determination of a Control Parameter in a Parabolic Partial Differential Equation

The authors consider in this paper the inverse problem of finding a pair of functions (w, p) such that ut = uxx +pu + F (x, t), 0<x<\,0<t<T, u(x, 0) = f(x), 0 < x < 1, Q,(O«J.(O, 0 + px(t)u(O, t) + yx{t)u(\, 0 = £ , (0 . 0 < t < T, a2(t)ux(l, /) + fi2(t)u(0, t) + y2(t)u(l, t) = g2{t), 0 < t < T, / u(x, t) dx = E{t), 0 < t < T, 0 < s(t) < 1. Jo where F, f, E… CONTINUE READING