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On the Scattering on a Loop-shaped Graph

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Evolution Equations of Hyperbolic and Schrödinger Type

Part of the book series: Progress in Mathematics ((PM,volume 301))

Abstract

We treat an inverse scattering problem on a graph with an infinite ray and a loop joined at one point. Our problem amounts to the reconstruction of potential on the basis of the scattering data of operator.

Mathematics Subject Classification. 78A46; 34L25.

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Author information

Authors and Affiliations

  1. Emeritus, Tokyo Metropolitan University, 8315-7, Hotaka, Azumino-shi, Nagano, 399-8303, Japan

    K. Mochizuki

  2. Institute for International Education, Tohoku University, 41 Kawauchi, Aoba-ku, Sendai, Miyagi, 980-8576, Japan

    I. Yu. Trooshin

  3. Institute of Problems of Precise Mechanics and Control Russian Academy of Sciences, Rabochaya 24, Saratov, 410028, Russia

    I. Yu. Trooshin

Authors
  1. K. Mochizuki
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  2. I. Yu. Trooshin
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Corresponding author

Correspondence to K. Mochizuki .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, Imperial College London, 180 Queen's Gate, London, SW7 2AZ, United Kingdom

    Michael Ruzhansky

  2. , Graduate School of Mathematics, Nagoya University, Furocho, Chikusaku, Nagoya, 464-8602, Japan

    Mitsuru Sugimoto

  3. , Fachbereich Mathematik, Universität Stuttgart, Pfaffenwaldring 57, Stuttgart, 70569, Germany

    Jens Wirth

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Mochizuki, K., Trooshin, I.Y. (2012). On the Scattering on a Loop-shaped Graph. In: Ruzhansky, M., Sugimoto, M., Wirth, J. (eds) Evolution Equations of Hyperbolic and Schrödinger Type. Progress in Mathematics, vol 301. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0454-7_12

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