|Date:||Wed, April 13, 2016|
|Place:||Research I Seminar Room|
Abstract: We extend a fast-slow nonvariational construction, which was already used for a class of singularly perturbed ODEs, to be applied on the semi-linear Klein-Gordon equation.
We construct an approximate system for the slow motion, whose nonlinear part is an asymptotic series in \(\epsilon\) with coefficient functions recursively defined, up to a small remainder with respect to \(\epsilon\). We prove that the solutions of the slow systems shadow solutions of the Klein-Gordon equation at the corresponding order over a finite interval of time.