On Structural Stability of Characteristic Nets and the Cauchy Problem for a Tricomi—Cibrario Type Equation
- Autores: Davydov A.A.1,2,3, Kasten Y.A.4
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Afiliações:
- National University of Science and Technology MISIS
- Faculty of Mechanics and Mathematics
- International Institute for Applied Systems Analysis (IIASA)
- Vladimir State University Named after Alexander and Nikolay Stoletovs
- Edição: Volume 304, Nº 1 (2019)
- Páginas: 146-152
- Seção: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175743
- DOI: https://doi.org/10.1134/S0081543819010103
- ID: 175743
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Resumo
For a generic second-order linear partial differential equation on the plane, we discuss the problem of nonlocal normal forms and invariants of the family of its characteristics, as well as the current state of the corresponding theory. As an example of potential applications of this theory, we solve a special Cauchy problem for a mixed-type equation.
Sobre autores
A. Davydov
National University of Science and Technology MISIS; Faculty of Mechanics and Mathematics; International Institute for Applied Systems Analysis (IIASA)
Autor responsável pela correspondência
Email: davydov@mi-ras.ru
Rússia, Leninskii pr. 4, Moscow, 119049; Moscow, 119991; Schlossplatz 1, Laxenburg, A-2361
Yu. Kasten
Vladimir State University Named after Alexander and Nikolay Stoletovs
Autor responsável pela correspondência
Email: julikasten@bk.ru
Rússia, ul. Gor’kogo 87, Vladimir, 600000
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