Abstract
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.
Original language | English |
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Pages (from-to) | 771-781 |
Number of pages | 11 |
Journal | Communications in Contemporary Mathematics |
Volume | 11 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2009 Oct 1 |
Externally published | Yes |
Keywords
- Asymptotics of solutions
- Nonlinear Klein-Gordon equation
- Scattering operator
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics