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April 2003 Unique continuation for parabolic operators
Luis Escauriaza, Francisco Javier Fernández
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Ark. Mat. 41(1): 35-60 (April 2003). DOI: 10.1007/BF02384566

Abstract

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}).

Citation

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Luis Escauriaza. Francisco Javier Fernández. "Unique continuation for parabolic operators." Ark. Mat. 41 (1) 35 - 60, April 2003. https://doi.org/10.1007/BF02384566

Information

Received: 26 November 2001; Published: April 2003
First available in Project Euclid: 31 January 2017

zbMATH: 1028.35052
MathSciNet: MR1971939
Digital Object Identifier: 10.1007/BF02384566

Rights: 2003 © Institut Mittag-Leffler

Vol.41 • No. 1 • April 2003
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