Arkiv för Matematik

Unique continuation for parabolic operators

Luis Escauriaza and Francisco Javier Fernández

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It is shown that if a function u satisfies a backward parabolic inequality in an open set Ω∉Rn+1 and vanishes to infinite order at a point (x0·t0) in Ω, then u(x, t0)=0 for all x in the connected component of x0 in Ω⌢(Rn×{t0}).

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Ark. Mat. Volume 41, Number 1 (2003), 35-60.

Received: 26 November 2001
First available in Project Euclid: 31 January 2017

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2003 © Institut Mittag-Leffler


Escauriaza, Luis; Fernández, Francisco Javier. Unique continuation for parabolic operators. Ark. Mat. 41 (2003), no. 1, 35--60. doi:10.1007/BF02384566.

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