Abstract
For the inverse problem of finding u and a(s)>0 which satisfy ut=a(u)uxx, 0<x<1, 0<t<T, u(0,t)=f1(t), u(1,t)=f2(t), 0<t<T, u(x,0)=u0(x), 0<x<1 and a(f1(t))ux(0,t)=g(t), 0<t<T, where f1,f2,u0 and g are known functions, the authors give a simple proof of the uniqueness of the classical solution (u(x,t), a(s)), a(s)>0, provided that the data satisfy certain conditions.
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