On the Quasilinearizability of Hyperbolic Monge–Ampère Systems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal Control and Dynamical Systems, Tome 321 (2023), pp. 286-291

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The paper is devoted to establishing necessary and sufficient conditions for the local quasilinearizability of nondegenerate hyperbolic Monge–Ampère systems.
Keywords: Monge–Ampère systems, quasilinear systems, hyperbolic systems.
D. V. Tunitsky. On the Quasilinearizability of Hyperbolic Monge–Ampère Systems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal Control and Dynamical Systems, Tome 321 (2023), pp. 286-291. http://geodesic.mathdoc.fr/item/TM_2023_321_a17/
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[1] Bilchev S.I., “Sistemy iz dvukh differentsialnykh uravnenii s chastnymi proizvodnymi pervogo poryadka (lokalnaya teoriya)”, Izv. vuzov. Matematika, 1970, no. 3, 14–21

[2] É Cartan, Les systèmes différentiels exterieurs et leurs applications geométriques, Actual. Sci. Ind., 994, Hermann, Paris, 1945 | MR

[3] Kushner A., Lychagin V., Rubtsov V., Contact geometry and nonlinear differential equations, Encycl. Math. Appl., 101, Cambridge Univ. Press, Cambridge, 2007 | MR | Zbl

[4] V. V. Lychagin, “Differential equations on two-dimensional manifolds”, Russ. Math., 36:5 (1992), 38–51 | MR | Zbl

[5] B. L. Rozhdestvenskii and N. N. Yanenko, Systems of Quasilinear Equations and Their Applications to Gas Dynamics, Transl. Math. Monogr., 55, Am. Math. Soc., Providence, RI, 1983 | MR | MR | Zbl

[6] D. V. Tunitsky, “On some categories of Monge–Ampère systems of equations”, Sb. Math., 200:11 (2009), 1681–1714 | DOI | DOI | MR | Zbl

[7] D. V. Tunitsky, “On the global solubility of the Cauchy problem for hyperbolic Monge–Ampère systems”, Izv. Math., 82:5 (2018), 1019–1075 | DOI | DOI | MR | Zbl

[8] Vasilev A.M., Teoriya differentsialno-geometricheskikh struktur, Izd-vo MGU, M., 1987

[9] F. W. Warner, Foundations of Differentiable Manifolds and Lie Groups, Grad. Texts Math., 94, Springer, New York, 1983 | DOI | MR | MR | Zbl