Smoothing effects and dispersion of singularities for the Schrödinger evolution group

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)165-186
Number of pages22
JournalArchive for Rational Mechanics and Analysis
Volume110
Issue number2
DOIs
Publication statusPublished - 1990 May
Externally publishedYes

Fingerprint

Smoothing Effect
Wave functions
Regularity
Singularity
Decay
Sobolev spaces
Weighted Sobolev Spaces
Vanish
Sufficient

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Mathematics(all)
  • Mechanics of Materials
  • Computational Mechanics

Cite this

Smoothing effects and dispersion of singularities for the Schrödinger evolution group. / Ozawa, Tohru.

In: Archive for Rational Mechanics and Analysis, Vol. 110, No. 2, 05.1990, p. 165-186.

Research output: Contribution to journalArticle

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