An Inverse Problem for an Abstract Evolution Equation

نویسندگان

  • S. V. KOSHKIN
  • A. G. RAMM
چکیده

The inverse problem of finding the coefficient γ in the equation u̇ = A(t)u + γ(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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تاریخ انتشار 2001