We prove a strong unique continuation theorem for functions u vanishing to infinite order in the space-time variables at (0,0) and verifying the inequality |4u+∂tu| ≤ |V (x, t)u| on Rn×(0, T ), when t1− n 2r− 1 s V (x, t) ∈ Lt,locL r x, n/2r+1/s ≤ 1 , n/2 < r ≤ ∞.
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Luis Escauriaza (2000) studied this question.
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