On Structural Stability of Characteristic Nets and the Cauchy Problem for a Tricomi—Cibrario Type Equation
- 作者: Davydov A.A.1,2,3, Kasten Y.A.4
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隶属关系:
- 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
- 期: 卷 304, 编号 1 (2019)
- 页面: 146-152
- 栏目: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175743
- DOI: https://doi.org/10.1134/S0081543819010103
- ID: 175743
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详细
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.
作者简介
A. Davydov
National University of Science and Technology MISIS; Faculty of Mechanics and Mathematics; International Institute for Applied Systems Analysis (IIASA)
编辑信件的主要联系方式.
Email: davydov@mi-ras.ru
俄罗斯联邦, Leninskii pr. 4, Moscow, 119049; Moscow, 119991; Schlossplatz 1, Laxenburg, A-2361
Yu. Kasten
Vladimir State University Named after Alexander and Nikolay Stoletovs
编辑信件的主要联系方式.
Email: julikasten@bk.ru
俄罗斯联邦, ul. Gor’kogo 87, Vladimir, 600000
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