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Erik Skibsted

Time-dependent scattering theory on manifolds

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Time-dependent scattering theory on manifolds. / Ito, K.; Skibsted, E.

In: Journal of Functional Analysis, Vol. 277, No. 5, 09.2019, p. 1423-1468.

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

Harvard

Ito, K & Skibsted, E 2019, 'Time-dependent scattering theory on manifolds', Journal of Functional Analysis, vol. 277, no. 5, pp. 1423-1468. https://doi.org/10.1016/j.jfa.2019.05.016

APA

Ito, K., & Skibsted, E. (2019). Time-dependent scattering theory on manifolds. Journal of Functional Analysis, 277(5), 1423-1468. https://doi.org/10.1016/j.jfa.2019.05.016

CBE

MLA

Vancouver

Ito K, Skibsted E. Time-dependent scattering theory on manifolds. Journal of Functional Analysis. 2019 Sep;277(5):1423-1468. doi: 10.1016/j.jfa.2019.05.016

Author

Ito, K. ; Skibsted, E. / Time-dependent scattering theory on manifolds. In: Journal of Functional Analysis. 2019 ; Vol. 277, No. 5. pp. 1423-1468.

Bibtex

@article{de7f88130fa042c6a8458567b6329ab4,
title = "Time-dependent scattering theory on manifolds",
abstract = "This is the third and the last paper in a series of papers on spectral and scattering theory for the Schr{\"o}dinger operator on a manifold possessing an escape function, for example a manifold with asymptotically Euclidean and/or hyperbolic ends. Here we discuss the time-dependent scattering theory. A long-range perturbation is allowed, and scattering by obstacles, possibly non-smooth and/or unbounded in a certain way, is included in the theory. We also resolve a conjecture by Hempel–Post–Weder on cross-ends transmissions between two or more ends, formulated in a time-dependent manner.",
keywords = "Long-range perturbation, Riemannian manifold, Scattering theory, Schr{\"o}dinger operator",
author = "K. Ito and E. Skibsted",
year = "2019",
month = sep,
doi = "10.1016/j.jfa.2019.05.016",
language = "English",
volume = "277",
pages = "1423--1468",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press",
number = "5",

}

RIS

TY - JOUR

T1 - Time-dependent scattering theory on manifolds

AU - Ito, K.

AU - Skibsted, E.

PY - 2019/9

Y1 - 2019/9

N2 - This is the third and the last paper in a series of papers on spectral and scattering theory for the Schrödinger operator on a manifold possessing an escape function, for example a manifold with asymptotically Euclidean and/or hyperbolic ends. Here we discuss the time-dependent scattering theory. A long-range perturbation is allowed, and scattering by obstacles, possibly non-smooth and/or unbounded in a certain way, is included in the theory. We also resolve a conjecture by Hempel–Post–Weder on cross-ends transmissions between two or more ends, formulated in a time-dependent manner.

AB - This is the third and the last paper in a series of papers on spectral and scattering theory for the Schrödinger operator on a manifold possessing an escape function, for example a manifold with asymptotically Euclidean and/or hyperbolic ends. Here we discuss the time-dependent scattering theory. A long-range perturbation is allowed, and scattering by obstacles, possibly non-smooth and/or unbounded in a certain way, is included in the theory. We also resolve a conjecture by Hempel–Post–Weder on cross-ends transmissions between two or more ends, formulated in a time-dependent manner.

KW - Long-range perturbation

KW - Riemannian manifold

KW - Scattering theory

KW - Schrödinger operator

UR - http://www.scopus.com/inward/record.url?scp=85066472658&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2019.05.016

DO - 10.1016/j.jfa.2019.05.016

M3 - Journal article

AN - SCOPUS:85066472658

VL - 277

SP - 1423

EP - 1468

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 5

ER -