An inverse problem for a parabolic partial differential equation
An inverse problem for a parabolic partial differential equation
On cherche le coefficient a(x) ainsi que la temperature u(x,t) dans le probleme aux valeurs initiales suivant: u t (x,t)-u xx (x,t)+u(x)u(x,t)=o, o<x<1, o<t<T, u(o,t)=u(1,t)=o, o≤t≤T; u(x,o)=f(x), o≤x≤1; u x (o,t)=g(t), o≤t≤T