Geodesic
Model problems for two nonlinear equations that type depends on the solution
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 4, pp. 539-547 Cet article a éte moissonné depuis la source Math-Net.Ru

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Model problems for two nonlinear second-order partial differential equations that type depends on the solution are considered in this article. One of the equations can be called a nonlinear analog of the Lavrent'ev–Bitsadze equation.
Keywords: type of equation, elliptic and hyperbolic equations, Lavrentev–Bitsadze's equation, Tricomi problem. 
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Isaac I. Vainshtein. Model problems for two nonlinear equations that type depends on the solution. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 4, pp. 539-547. http://geodesic.mathdoc.fr/item/JSFU_2013_6_4_a14/

[1] I. I. Vainshtein, “The model problems for nonlinear analog Lavrentev-Bitsadze's equations”, Inverse and ill-posed problems of mathematical physics, International conference on the 80th anniversary of Academician Mikhail Lavrentiev, Abstracts, Novosibirsk, 2012 (in Russian)

[2] A. V. Bitsadze, The equations of mixed type, Akademia Nauk SSSR, Moscow, 1959 (in Russian) | Zbl

[3] I. I. Vainshtein, “Solution of two dual problems of splicing the vortex and potential flows by Goldshtik's variational method”, Journal of Siberian Federal University. Mathematics and Physics, 4:3 (2011), 320–331 (in Russian)

[4] M. A. Goldshtik, Vortex flows, Nauka, Novosibirsk, 1961 (in Russian)