Unique continuation property for Boussinesq-type systems

Youcef Mammeri (1)

1 IMB - Institut de Mathématiques de Bordeaux

We prove, that if the solution of the Cauchy problem for a regularized version of the Boussinesq systems, has a compact support for all time, then this solution vanishes identically.

Mots clés: Boussinesq system; unique continuation property; compact support

Domaines: Mathématiques [math]

Youcef Mammeri. Unique continuation property for Boussinesq-type systems. Communications in Mathematical Analysis, 2010, 9 (1), pp.121 - 127. ⟨hal-01090375⟩