A mixed problem for a Boussinesq hyperbolic equation with integral condition

Said Mesloub (1) , Abdelouahab Mansour (2)

1 departement of mathematics
2 ICJ - Institut Camille Jordan

A hyperbolic problem wich combines a classical(Dirichlet) and a non-local contraint is considered.The existence and uniqueness of strong solutions are proved,we use a functionnal analysis method based on a priori estimate and on the density of the range of the operator generated by the considered problem.

Mots clés: hyperbolic equation; integral condition; a priori estimate

Domaines: Analyse fonctionnelle [math.FA]; Equations aux dérivées partielles [math.AP]

Said Mesloub, Abdelouahab Mansour. A mixed problem for a Boussinesq hyperbolic equation with integral condition. 2005. ⟨hal-00338641⟩