The Conditional Stability in Line Unique Continuation for a Wave Equation and an Inverse Wave Source Problem
نویسندگان
چکیده
In this paper, we prove a conditional stability estimate of the logarithmic type for a wave equation on a line in Rn, 2 ≤ n ≤ 3 by combining the Fourier-Bros-Iagolnitzer transformation. Then we apply it to an inverse wave source problem of determining a spatially varying source term on its extended line by observations of a segment and establish the conditional stability.
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تاریخ انتشار 2005