Differential and Integral Equations

Unique continuation property for the KP-BBM-II equation

Youcef Mammeri

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We prove, by using a method introduced by Constantin [6], that if the solution of the Cauchy problem associated with the KP-BBM-II equation has compact support for all times, then this solution vanishes identically. The only restriction is that the support in the $y$-direction has to be small.

Article information

Differential Integral Equations, Volume 22, Number 3/4 (2009), 393-399.

First available in Project Euclid: 20 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35B60: Continuation and prolongation of solutions [See also 58A15, 58A17, 58Hxx] 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10]


Mammeri, Youcef. Unique continuation property for the KP-BBM-II equation. Differential Integral Equations 22 (2009), no. 3/4, 393--399. https://projecteuclid.org/euclid.die/1356019780

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