On the theory of nonlocal normal forms of mixed type PDE´s on the plane

Plática dada por Alexey Davydov (The National University of Science and Technology, MISiS, Lomonosov Moscow State University & International Institute for Applied Systems Analysis) en el evento Singularities in generic geometry and its applications: Valencia V, para celebrar el 60 aniversario de Federico Sánchez Bringas el jueves 3 de agosto del 2017 en el Auditorio Carlos Graef del Amoxcalli en la Facultad de Ciencias de la UNAM

Abstract:
The local classification of generic linear second order mixed type PDE’s on the plane was completed in [1], [2].
Later on some analogous results were obtained in a similar classification for typical families of such equations [3], [4], [5], [6], [7]. However, the complete smooth classification, even for typical one-parameter families, has not yet been obtained.
We discuss these results and open problems in the theory of normal forms of typical families of second-order linear partial equations on the plane.
The work is supported by Ministry of Education and Science of the
Russian Federation under the project 1.638.2016/FPM

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