Modified scattering for the quadratic nonlinear Klein–Gordon equation in two dimensions

Satoshi Masaki, Jun Ichi Segata

研究成果: Contribution to journalArticle

2 引用 (Scopus)

抜粋

In this paper, we consider the long time behavior of the solution to the quadratic nonlinear Klein–Gordon equation (NLKG) in two space dimensions: (Formula Presented), where □ = ∂t 2 − Δ is d’Alembertian. For a given asymptotic profile uap, we construct a solution u to (NLKG) which converges to uap as t → ∞. Here the asymptotic profile uap is given by the leading term of the solution to the linear Klein–Gordon equation with a logarithmic phase correction. Construction of a suitable approximate solution is based on Fourier series expansion of the nonlinearity.

元の言語英語
ページ(範囲)8155-8170
ページ数16
ジャーナルTransactions of the American Mathematical Society
370
発行部数11
DOI
出版物ステータス出版済み - 2018
外部発表Yes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

フィンガープリント Modified scattering for the quadratic nonlinear Klein–Gordon equation in two dimensions' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

  • これを引用