The Cauchy Problem for Differential Equations with Piecewise Smooth Characteristics

The Cauchy Problem for Differential Equations with Piecewise Smooth Characteristics Full article

Journal

Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795

Output data

Year: 2021, Volume: 253, Number: 3, Pages: 339-353 Pages count : 15 DOI: 10.1007/s10958-021-05232-6

Authors

Anikonov D.S. ^1,2 , Konovalova D.S. ¹

Affiliations

1	Sobolev Institute of Mathematics SB RAS, 4, Akad. Koptyuga pr, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, 1, Pirogova St, Novosibirsk, 630090, Russian Federation

We study the Cauchy problem for an equation with first order partial derivatives and two independent variables. One of coefficients of partial derivatives is discontinuous. Hence characteristics are piecewise smooth curves and the solution to the Cauchy problem (understood in some generalized sense) has specific properties. In particular, the solutions is not defined in some domain and is discontinuous and unextendable in some other domain. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

Anikonov D.S. , Konovalova D.S.
The Cauchy Problem for Differential Equations with Piecewise Smooth Characteristics
Journal of Mathematical Sciences (United States). 2021. V.253. N3. P.339-353. DOI: 10.1007/s10958-021-05232-6 Scopus OpenAlex

Scopus:	2-s2.0-85100543576
OpenAlex:	W3127323070

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