Global Solution for the Nonlinear Beam Equation

摘要

We prove the existence and uniqueness of global solution for the nonlinear beam equation with initial boundary condition: u" + α△2u - M (|△u|22)△u+Φ(t)g（u') = f(x) inQ where u''(x,t) = u_u , u'(x,t) = u_t ,α>0 , M,g,Φ is nonlinear functions and △ is Laplacian in R~n.