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^*

^*Kontaktforfatter

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

15 Citationer (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→∞

Originalsprog	Engelsk
Tidsskrift	Manuscripta Mathematica
Vol/bind	25
Udgave nummer	1
Sider (fra-til)	61-77
Antal sider	17
ISSN	0025-2611
DOI	https://doi.org/10.1007/BF01170357
Status	Udgivet - mar. 1978

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Citationsformater

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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→∞",

author = "Arne Jensen",

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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DO - 10.1007/BF01170357

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AN - SCOPUS:0011495867

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JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

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

Abstract

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