Unique determination of a time-dependent potential for wave equations from partial data
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چکیده
We consider the inverse problem of determining a time-dependent potential q, appearing in the wave equation ∂2 t u−∆xu+ q(t, x)u = 0 in Q = (0, T )×Ω with Ω a C2 bounded domain of Rn, n > 2, from partial observations of the solutions on ∂Q. We prove global unique determination of a coefficient q ∈ L∞(Q).
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تاریخ انتشار 2017