%0 Journal Article %T Asymptotic theory for weakly non-linear wave equations in semi-infinite domains %A Chirakkal V. Easwaran %J Electronic Journal of Differential Equations %D 2004 %I Texas State University %X We prove the existence and uniqueness of solutions of a class of weakly non-linear wave equations in a semi-infinite region $0le x$, $t< L/sqrt{|epsilon|}$ under arbitrary initial and boundary conditions. We also establish the asymptotic validity of formal perturbation approximations of the solutions in this region. %K Multiple scale %K perturbation %K non-linear %K waves %K asymptotic. %U http://ejde.math.txstate.edu/Volumes/2004/07/abstr.html