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

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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. 
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/
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[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)