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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2020 Volume 308, Pages 232–242 (Mi tm4057)
On the Structure of Solutions to a Model System That Is Nonstrictly Hyperbolic in the Sense of Petrovskii

V. V. Palin

Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia

Abstract: We construct solutions to the Cauchy problem for a model system that is not hyperbolic in the sense of Friedrichs. To this end, we apply a new geometric method for constructing solutions to the Riemann problem.

UDC: 517.956

Received: July 30, 2019
Revised: July 30, 2019
Accepted: December 9, 2019

DOI: 10.4213/tm4057


 English version: Proceedings of the Steklov Institute of Mathematics, 2020, 308, 218–228

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© Steklov Math. Inst. of RAS, 2025