@Article{JPDE-12-26,
author = {Han Yang },
title = {Scattering for Semilinear Wave Equation with Small Data in High Space Dimensions},
journal = {Journal of Partial Differential Equations},
year = {1999},
volume = {12},
number = {1},
pages = {26--40},
abstract = { In this paper we study the scattering theory for the semilincar wave equation u_{tt} - Δu = F(u(t, x), Du(t, x)) in R^n (n ≥ 4) with smooth and small data. We show that the scattering operator exists for the nonlinear term F = F(λ) = O(|λ|^{1, α}), where α is an integer and satisfies α ≥ 2, n = 4; α ≥ I, n ≥ 5.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5522.html}
}