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

Alexy A. Davydov () and Yu. A. Kasten ()
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Alexy A. Davydov: Lomonosov Moscow State University
Yu. A. Kasten: Vladimir State University named after Alexander and Nikolay Stoletovs

A chapter in Control Systems and Mathematical Methods in Economics, 2018, pp 15-25 from Springer

Abstract: 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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnechp:978-3-319-75169-6_2

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DOI: 10.1007/978-3-319-75169-6_2

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