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M. Yamamoto

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

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).

Journal of Inverse and Ill-posed Problems, Walter de Gruyter

Print ISSN: 0928-0219
Volume: 11, 12/2003
Pages: 537 - 543

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