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Publication Date:
December 2003
ISSN:
1569-3945
DOI:
10.1515/156939403770888264

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Journal of Inverse and III-posed Problems

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One unique continuation for a linearized Benjamin—Bona—Mahony equation

M. Yamamoto∗

∗Department of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba Meguro, Tokyo 153, Japan. E-mail: myama@ms.u-tokyo.ac.jp

Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 11, Issue 5, Pages 537–543, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939403770888264,

Publication History:
Published Online:

For a linearized Benjamin—Bona—Mahony equation:

we prove a unique continuation property by a Carleman estimate. The main result is: if u(1, t) = ∂x u(1, t) = 0 for t ∈ (0, T) and u(x, 0) = 0 for x ∈ (0,1), then u(x, t) = 0 for (x, t) ∈ (0, 1) × (0, T).

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