On structural stability of characteristic nets and the Cauchy problem for a Tricomi-Cibrario type equation

DOI10.1134/S0081543819010103zbMath1420.35165OpenAlexW2996160671WikidataQ127778165 ScholiaQ127778165MaRDI QIDQ2317221

Yu. A. Kasten, Alexey Davydov

Publication date: 9 August 2019

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543819010103

zbMATH Keywords

invariantssecond-order linear partial differential equationnonlocal normal forms

Mathematics Subject Classification ID

Initial value problems for PDEs of mixed type (35M11)

Cites Work

• Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
• Structural stability on two-dimensional manifolds
• Normal form of a differential equation, not solvable for the derivative, in a neighborhood of a singular point
• Surface deformation. I
• The complete classification of typical second-order linear partial-differential equations on the plane
• Normal forms of linear second order partial differential equations on the plane
• Solvability of the boundary value problem for a Tricomi type equation in the exterior of a disk
• Structural stability of simplest dynamical inequalities
• Structural stability on two-dimensional manifolds. A further remark
• Normal forms for families of linear equations of mixed type near non-resonant folded singular points
• STRUCTURAL STABILITY OF CONTROL SYSTEMS ON ORIENTABLE SURFACES
• Implicit ordinary differential equations: bifurcations and sharpening of equivalence
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