Smoothing effects and dispersion of singularities for the Schrödinger evolution group

研究成果: Article

8 引用 (Scopus)

抜粋

We describe smoothing effects and dispersion of singularities for the Schrödinger evolution group in the weighted Sobolev spaces. Under a fairly general assumption on the potential, it is shown that all singularities in the wavefunction vanish instantly whenever the initial state has sufficient decay. We measure the regularity gained by the wavefunction by the decay property of the initial state. No assumptions on the regularity of the initial state are imposed throughout the paper.

元の言語English
ページ(範囲)165-186
ページ数22
ジャーナルArchive for Rational Mechanics and Analysis
110
発行部数2
DOI
出版物ステータスPublished - 1990 5 1
外部発表Yes

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

フィンガープリント Smoothing effects and dispersion of singularities for the Schrödinger evolution group' 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