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The Hormander solution singular at a running point and the Bateman solution. / Blagoveshchensky, Alexander S. ; Tagirdzhanov, Azat M. ; Kiselev, Aleksei P. .

Days on Diffraction (DD), 2017: Proceedings of the International Conference. IEEE Industrial Electronics Society, 2017. p. 56-66.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Blagoveshchensky, AS, Tagirdzhanov, AM & Kiselev, AP 2017, The Hormander solution singular at a running point and the Bateman solution. in Days on Diffraction (DD), 2017: Proceedings of the International Conference. IEEE Industrial Electronics Society, pp. 56-66, 2017 International Conference Days on Diffraction, DD 2017, St. Petersburg, Russian Federation, 18/06/17.

APA

Blagoveshchensky, A. S., Tagirdzhanov, A. M., & Kiselev, A. P. (2017). The Hormander solution singular at a running point and the Bateman solution. In Days on Diffraction (DD), 2017: Proceedings of the International Conference (pp. 56-66). IEEE Industrial Electronics Society.

Vancouver

Blagoveshchensky AS, Tagirdzhanov AM, Kiselev AP. The Hormander solution singular at a running point and the Bateman solution. In Days on Diffraction (DD), 2017: Proceedings of the International Conference. IEEE Industrial Electronics Society. 2017. p. 56-66

Author

Blagoveshchensky, Alexander S. ; Tagirdzhanov, Azat M. ; Kiselev, Aleksei P. . / The Hormander solution singular at a running point and the Bateman solution. Days on Diffraction (DD), 2017: Proceedings of the International Conference. IEEE Industrial Electronics Society, 2017. pp. 56-66

BibTeX

@inproceedings{35f28bcd1f8e4cddbf2cc97570ead04a,
title = "The Hormander solution singular at a running point and the Bateman solution",
abstract = "In order to illustrate his theory of propagation of wavefront sets for hyperbolic equations, H{\"o}rmander gave in [1] the first example of a solution of the wave equation, that has a singularity at a single point running with time. We analyze the analytical structure of this solution for the case of the wave equation with three spatial variables. Our most remarkable observation is that it reduces to the classical, non-complexified Bateman solution [2,3].",
keywords = "propagation, Electronic mail, Diffraction, Geometrical optics, Mechanical engineering",
author = "Blagoveshchensky, {Alexander S.} and Tagirdzhanov, {Azat M.} and Kiselev, {Aleksei P.}",
year = "2017",
language = "English",
isbn = "978-1-5386-4797-4",
pages = "56--66",
booktitle = "Days on Diffraction (DD), 2017",
publisher = "IEEE Industrial Electronics Society",
note = "2017 International Conference Days on Diffraction, DD 2017 ; Conference date: 18-06-2017 Through 22-06-2017",

}

RIS

TY - GEN

T1 - The Hormander solution singular at a running point and the Bateman solution

AU - Blagoveshchensky, Alexander S.

AU - Tagirdzhanov, Azat M.

AU - Kiselev, Aleksei P.

PY - 2017

Y1 - 2017

N2 - In order to illustrate his theory of propagation of wavefront sets for hyperbolic equations, Hörmander gave in [1] the first example of a solution of the wave equation, that has a singularity at a single point running with time. We analyze the analytical structure of this solution for the case of the wave equation with three spatial variables. Our most remarkable observation is that it reduces to the classical, non-complexified Bateman solution [2,3].

AB - In order to illustrate his theory of propagation of wavefront sets for hyperbolic equations, Hörmander gave in [1] the first example of a solution of the wave equation, that has a singularity at a single point running with time. We analyze the analytical structure of this solution for the case of the wave equation with three spatial variables. Our most remarkable observation is that it reduces to the classical, non-complexified Bateman solution [2,3].

KW - propagation

KW - Electronic mail

KW - Diffraction

KW - Geometrical optics

KW - Mechanical engineering

UR - https://ieeexplore.ieee.org/document/8167996

M3 - Conference contribution

SN - 978-1-5386-4797-4

SP - 56

EP - 66

BT - Days on Diffraction (DD), 2017

PB - IEEE Industrial Electronics Society

T2 - 2017 International Conference Days on Diffraction, DD 2017

Y2 - 18 June 2017 through 22 June 2017

ER -

ID: 35284666