Geodesic
About three-dimensional analogue of the problem of Tricomi with parallel planes of extinction
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 1 (2018), pp. 6-20 Cet article a éte moissonné depuis la source Math-Net.Ru

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Three-dimensional analogue of the problem of Tricomi with non-characteristic parallel planes of change of types of the equation is investigated for a parabolic-hyperbolic equation. The uniqueness of the solution of the problem is proved by the method of a priori estimates, and the existence of the solution of the problem is enlightened to the existence of a solution of the system of the second type Voltaire integral equation.
Keywords: Tricomi problem, parabolic-hyperbolic equation, non-characteristic plane, maximum principle, apriori estimate, uniqueness, system of integral equations.
Mots-clés : Fourier transform, existence 
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Yu. P. Apakov. About three-dimensional analogue of the problem of Tricomi with parallel planes of extinction. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 1 (2018), pp. 6-20. http://geodesic.mathdoc.fr/item/VKAM_2018_1_a0/

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