Local decay in time of solutions to Schrödinger's equation with a dilation-analytic interaction

Arne Jensen

doi:10.1007/BF01170357

Local decay in time of solutions to Schrödinger's equation with a dilation-analytic interaction

Arne Jensen^*

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

15 Citations (Scopus)

Abstract

For a Schrödinger operator H=-Δ+V in L²(ℝ³ with a dilation-analytic potential V decaying as r^-2-ε at infinity we prove that a scattering solution exp(-itH)f generically decays as t^-3/2 for t→∞

Original language	English
Journal	Manuscripta Mathematica
Volume	25
Issue number	1
Pages (from-to)	61-77
Number of pages	17
ISSN	0025-2611
DOIs	https://doi.org/10.1007/BF01170357
Publication status	Published - Mar 1978

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title = "Local decay in time of solutions to Schr{\"o}dinger's equation with a dilation-analytic interaction",

abstract = "For a Schr{\"o}dinger operator H=-Δ+V in L2(ℝ3 with a dilation-analytic potential V decaying as r-2-ε at infinity we prove that a scattering solution exp(-itH)f generically decays as t-3/2 for t→∞",

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year = "1978",

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AB - For a Schrödinger operator H=-Δ+V in L2(ℝ3 with a dilation-analytic potential V decaying as r-2-ε at infinity we prove that a scattering solution exp(-itH)f generically decays as t-3/2 for t→∞

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Local decay in time of solutions to Schrödinger's equation with a dilation-analytic interaction

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