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Reg. tribunale Roma
n°128/88 del 17/03/1988
Reg. nazionale stampa
Pres. cons. min.
L. 5/8/61 n°461
n°02382 vol.24
del 27/05/1988
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Roma Mercoledì 6 Dicembre 2017, ore 16:00 Dipartimento di Matematica e Fisica – Aula 311 Largo San Leonardo Murialdo 1 Dynamics of the nonlinear Klein-Gordon equation in the nonrelativistic limit Stefano Pasquali (Universita’ degli Studi Roma Tre) We study the the nonlinear Klein-Gordon (NLKG) equation on a manifold $M$ in the nonrelativistic limit (as the speed of light $c \to \infty$). We consider a higher-order normalized approximation of NLKG (corresponding to the NLS at order $r=1$), and prove that when $M$ is a smooth compact manifold or $\R^d$, the solution of the approximating equation approximates the solution of the NLKG locally uniformly in time. When $M=\R^d$, $d \geq 2$, we prove that for $r \geq 2$ small radiation solutions of the order $r$ normalized equation approximate solutions of the nonlinear NLKG up to times of order $\cO(c^{2(r-1)})$.