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On Nonlocal Normal Forms of Linear Second Order Mixed Type PDEs on the Plane

  • Alexy A. Davydov
  • Yu. A. Kasten
Chapter
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 687)

Abstract

Here we propose the nonlocal normal form of main symbol of linear second order mixed type PDEs on the plane for Cibrario-Tricomi case with periodic coefficients. In particular that provides the normal form for equation, which describes an infinitesimal bending of typical rotation surface or sufficiently close to the one near its parabolic line.

Notes

Acknowledgements

This research is done by partial financial support by Ministry of Education and Science of the Russian Federation under the project 1.638.2016/FPM.

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Authors and Affiliations

  1. 1.National University of Science and Technology “MISIS”Lomonosov Moscow State UniversityMoscowRussia
  2. 2.Vladimir State University named after Alexander and Nikolay StoletovsVladimirRussia

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