We prove the existence of the scattering operator in H1+n/2,1 in the neighborhood of the origin for the nonlinear KleinGordon equation with a power nonlinearity utt-Δu+u=μ|u|p-1u, (t,x) ∈ R × Rn, where p > 1+2/n, μ ∈ C, n=1,2.
- Asymptotics of solutions
- Nonlinear Klein-Gordon equation
- Scattering operator
ASJC Scopus subject areas
- Applied Mathematics