Smoothing effect and large time behavior of solutions to Schrödinger equations with nonlinearity of integral type

T. Ozawa, Y. Yamazaki

研究成果: Article

3 引用 (Scopus)

抜粋

We study the smoothing effect in space and asymptotic behavior in time of solutions to the Cauchy problem for the nonlinear Schrödinger equation with interaction described by the integral of the intensity with respect to one direction in two space dimensions. A detailed description is given on the phase modification of scattering solutions by taking into account the long range effect of the interaction.

元の言語English
ページ(範囲)681-703
ページ数23
ジャーナルCommunications in Contemporary Mathematics
6
発行部数4
DOI
出版物ステータスPublished - 2004 8 1
外部発表Yes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

フィンガープリント Smoothing effect and large time behavior of solutions to Schrödinger equations with nonlinearity of integral type' 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