Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4612106 | Journal of Differential Equations | 2008 | 12 Pages |
Abstract
We prove the existence of the scattering operator in the neighborhood of the origin in the weighted Sobolev space Hβ,1Hβ,1 with β=max(32,1+2n) for the nonlinear Klein–Gordon equation with a power nonlinearityutt−Δu+u=μ|u|σ−1u,(t,x)∈R×Rn, where 1+4n+2<σ<1+4n for n⩾3n⩾3, μ∈Cμ∈C.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Nakao Hayashi, Pavel I. Naumkin,