An inverse problem for an abstract evolution equation

S. V. Koshkin; A. G. Ramm

An inverse problem for an abstract evolution equation

Mathematical Physics 2007-05-23 v1 math.MP

Authors: S. V. Koshkin , A. G. Ramm

Abstract

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.

Cite

@article{arxiv.math-ph/0104029,
  title  = {An inverse problem for an abstract evolution equation},
  author = {S. V. Koshkin and A. G. Ramm},
  journal= {arXiv preprint arXiv:math-ph/0104029},
  year   = {2007}
}

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