Lower Lp-Bounds for Scattering Solutions of the Schrödinger Equations

Tohru Ozawa

doi:10.2977/prims/1195173182

Lower L^p-Bounds for Scattering Solutions of the Schrödinger Equations

Tohru Ozawa^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

In this article, the asymptotic behavior in time of scattering solutions to the Schrödinger equation is investigated. Under rather natural assumptions, Lⁿ(Rⁿ)-lower bound estimates of the form for with Φ ≠0 are established, where H^cont(H) denotes the continuous spectral subspace of H. This shows that the estimates obtained by the author in [10] are optimal.

Original language	English
Pages (from-to)	579-586
Number of pages	8
Journal	Publications of the Research Institute for Mathematical Sciences
Volume	25
Issue number	4
DOIs	https://doi.org/10.2977/prims/1195173182
Publication status	Published - 1989
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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@article{5272ec13b55e4486bd770375d72d3fb8,

title = "Lower Lp-Bounds for Scattering Solutions of the Schr{\"o}dinger Equations",

abstract = "In this article, the asymptotic behavior in time of scattering solutions to the Schr{\"o}dinger equation is investigated. Under rather natural assumptions, Ln(Rn)-lower bound estimates of the form for with Φ ≠0 are established, where Hcont(H) denotes the continuous spectral subspace of H. This shows that the estimates obtained by the author in [10] are optimal.",

author = "Tohru Ozawa",

year = "1989",

doi = "10.2977/prims/1195173182",

language = "English",

volume = "25",

pages = "579--586",

journal = "Publications of the Research Institute for Mathematical Sciences",

issn = "0034-5318",

publisher = "European Mathematical Society Publishing House",

number = "4",

}

TY - JOUR

T1 - Lower Lp-Bounds for Scattering Solutions of the Schrödinger Equations

AU - Ozawa, Tohru

PY - 1989

Y1 - 1989

N2 - In this article, the asymptotic behavior in time of scattering solutions to the Schrödinger equation is investigated. Under rather natural assumptions, Ln(Rn)-lower bound estimates of the form for with Φ ≠0 are established, where Hcont(H) denotes the continuous spectral subspace of H. This shows that the estimates obtained by the author in [10] are optimal.

AB - In this article, the asymptotic behavior in time of scattering solutions to the Schrödinger equation is investigated. Under rather natural assumptions, Ln(Rn)-lower bound estimates of the form for with Φ ≠0 are established, where Hcont(H) denotes the continuous spectral subspace of H. This shows that the estimates obtained by the author in [10] are optimal.

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U2 - 10.2977/prims/1195173182

DO - 10.2977/prims/1195173182

M3 - Article

AN - SCOPUS:85008013482

SN - 0034-5318

VL - 25

SP - 579

EP - 586

JO - Publications of the Research Institute for Mathematical Sciences

JF - Publications of the Research Institute for Mathematical Sciences

IS - 4

ER -

Lower L^p-Bounds for Scattering Solutions of the Schrödinger Equations

Abstract

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