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Nonlinear PDEs, Their Geometry, and Applications pp 53–94Cite as

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Lectures on Geometry of Monge–Ampère Equations with Maple

Part of the Tutorials, Schools, and Workshops in the Mathematical Sciences book series (TSWMS)

Abstract

The main goal of these lectures is to give a brief introduction to application of contact geometry to Monge–Ampère equations.

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Acknowledgements

This work is partially supported by the Russian Foundation for Basic Research (project 18-29-10013). The third author was also supported by the Czech Grant Agency, grant no. GA17-01171S.

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Authors and Affiliations

  1. Lomonosov Moscow State University, GSP-2, Leninskie Gory, Moscow, 119991, Russia

    Alexei Kushner

  2. Moscow Pedagogical State University, 1/1 M. Pirogovskaya Str., Moscow, Russia

    Alexei Kushner

  3. V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, 65 Profsoyuznaya Str., Moscow, 117997, Russia

    Alexei Kushner & Valentin V. Lychagin

  4. UiT Norges Arktiske Universitet, Postboks 6050, Langnes, 9037, Tromso, Norway

    Valentin V. Lychagin

  5. Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, 61137, Brno, Czech Republic

    Jan Slovák

Authors
  1. Alexei Kushner
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  2. Valentin V. Lychagin
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  3. Jan Slovák
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Corresponding author

Correspondence to Alexei Kushner .

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Editors and Affiliations

  1. The Faculty of Science, Masaryk University, Brno, Czech Republic

    Radosław A. Kycia

  2. Baltic Institute of Mathematics, Warszawa, Poland

    Maria Ułan

  3. Department of Mathematics and Statistics, UiT The Arctic University of Norway, Tromsø, Norway

    Eivind Schneider

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Kushner, A., Lychagin, V.V., Slovák, J. (2019). Lectures on Geometry of Monge–Ampère Equations with Maple. In: Kycia, R., Ułan, M., Schneider, E. (eds) Nonlinear PDEs, Their Geometry, and Applications. Tutorials, Schools, and Workshops in the Mathematical Sciences . Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-17031-8_2

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