An inverse problem for an abstract evolution equation
S. V. Koshkin, A. G. Ramm
Abstract
The inverse problem of finding the coefficient in the equation u=A(t)u+(t)u+f(t) from the extra data of the form ϕ(t)=u(t),w is studied. The problem is reduced to a Volterra equation of the second kind. Applications are given to parabolic equations with second order differential operators.
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