The transmission problem of the wave equation of Kirchhoff type

E. C. Lapa, Z. H. Segura, J. B. Barros
Our main in this paper is to prove the existence of global solutions the transmission problem for the wave equations of Kirchhoff type for small initial data. We consider the wave propagation over bodies consisting of two physically differents types of material: a part is simple elastic while the other has a variable elastic coeffcient and a linear internal damping. We prove that the energy decay exponentially
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