Abstract
It is shown that if a functionu satisfies a backward parabolic inequality in an open set Ω∉R n+1 and vanishes to infinite order at a point (x 0·t 0) in Ω, thenu(x, t 0)=0 for allx in the connected component ofx 0 in Ω⌢(R n×{t 0}).
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Escauriaza, L., Fernández, F.J. Unique continuation for parabolic operators. Ark. Mat. 41, 35–60 (2003). https://doi.org/10.1007/BF02384566
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DOI: https://doi.org/10.1007/BF02384566