Geodesic
On the Structure of Solutions to a Model System That Is Nonstrictly Hyperbolic in the Sense of Petrovskii
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 308 (2020), pp. 232-242

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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. 
@article{TM_2020_308_a16,
     author = {V. V. Palin},
     title = {On the {Structure} of {Solutions} to a {Model} {System} {That} {Is} {Nonstrictly} {Hyperbolic} in the {Sense} of {Petrovskii}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {232--242},
     publisher = {mathdoc},
     volume = {308},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2020_308_a16/}
}
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V. V. Palin. On the Structure of Solutions to a Model System That Is Nonstrictly Hyperbolic in the Sense of Petrovskii. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 308 (2020), pp. 232-242. http://geodesic.mathdoc.fr/item/TM_2020_308_a16/