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St. Petersburg Mathematical Journal

ISSN 1547-7371(online) ISSN 1061-0022(print)



Backward uniqueness for the heat operator in a half-space

Authors: L. Escauriaza, G. Seregin and V. Sverák
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Original publication: Algebra i Analiz, tom 15 (2003), nomer 1.
Journal: St. Petersburg Math. J. 15 (2004), 139-148
MSC (2000): Primary 35K10
Published electronically: December 31, 2003
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Abstract: A backward uniqueness result is proved for the heat operator with variable lower order terms in a half-space. The main point of the result is that the boundary conditions are not controlled by the assumptions.

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Additional Information

L. Escauriaza
Affiliation: Dipartimento di Matemáticas, UPV/EHU, Bilbao, Spain

G. Seregin
Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191011, Russia

V. Sverák
Affiliation: School of Mathematics, University of Minnesota, Minneapolis, MN

Keywords: Backward uniqueness, heat operator
Received by editor(s): September 2, 2002
Published electronically: December 31, 2003
Article copyright: © Copyright 2003 American Mathematical Society