On Structural Stability of Characteristic Nets and the Cauchy Problem for a Tricomi—Cibrario Type Equation


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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.

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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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