H 1 - conditional stability with explicit Lipshitz constant for a one - dimensional inverse acoustic problem
نویسنده
چکیده
In the present paper we formulate and investigate a one-dimensional inverse acoustic problem in the form of nonlinear system of Volterra integral equations. We prove the conditional stability of the inverse problem with an explicitly given Lipschitz constant depending only on the depth l and a bound of norms of an unknown coefficient and inverse problem data. The proposed technique can be applied to prove local well-posedness of the inverse problem in L2(0, l).
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