Email this article On Structural Stability of Characteristic Nets and the Cauchy Problem for a Tricomi—Cibrario Type Equation
- Authors: Davydov A.A.1,2,3, Kasten Y.A.4
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Affiliations:
- 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
- Issue: Vol 304, No 1 (2019)
- Pages: 146-152
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175743
- DOI: https://doi.org/10.1134/S0081543819010103
- ID: 175743
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Abstract
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.
About the authors
A. A. Davydov
National University of Science and Technology MISIS; Faculty of Mechanics and Mathematics; International Institute for Applied Systems Analysis (IIASA)
Author for correspondence.
Email: davydov@mi-ras.ru
Russian Federation, Leninskii pr. 4, Moscow, 119049; Moscow, 119991; Schlossplatz 1, Laxenburg, A-2361
Yu. A. Kasten
Vladimir State University Named after Alexander and Nikolay Stoletovs
Author for correspondence.
Email: julikasten@bk.ru
Russian Federation, ul. Gor’kogo 87, Vladimir, 600000
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