An inverse problem for an abstract evolution equation

Details An inverse problem for an abstract evolution equation An inverse problem for an abstract evolution equation

2001-04-20

arxiv.org/abs/math-ph/0104029v1

Physics

Mathematical Physics

Scientific paper

The inverse problem of finding the coefficient $\g$ in the equation
$\dot{u}=A(t)u+\g(t)u+f(t)$ from the extra data of the form $\phi(t)=u(t),w$ 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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