Smoothing effects and dispersion of singularities for the Schrödinger evolution group

Tohru Ozawa

doi:10.1007/BF00873497

Smoothing effects and dispersion of singularities for the Schrödinger evolution group

Tohru Ozawa

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	165-186
Number of pages	22
Journal	Archive for Rational Mechanics and Analysis
Volume	110
Issue number	2
DOIs	https://doi.org/10.1007/BF00873497
Publication status	Published - 1990 May 1
Externally published	Yes

ASJC Scopus subject areas

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

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10.1007/BF00873497

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