On a boundary value problem for a mixed equation with three planes of type change in an infinite prismatic domain
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 34 (2021) no. 1, pp. 19-28
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In this paper, in an infinite prismatic domain, one problem is formulated and studied for a parabolic-hyperbolic equation with three planes of type change. The main methods for studying the problem posed is the Fourier transform. The uniqueness and existence of a solution to the problem is proved.
Keywords:
equation with three planes of type change, regular solution, extremum principle, equation with three planes of type change, regular solution, extremum principle
Mots-clés : Fourier transform, solution estimation, Fourier transform, solution estimation.
Mots-clés : Fourier transform, solution estimation, Fourier transform, solution estimation.
@article{VKAM_2021_34_1_a1,
author = {B. I. Islomov and G. B. Umarova},
title = {On a boundary value problem for a mixed equation with three planes of type change in an infinite prismatic domain},
journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
pages = {19--28},
publisher = {mathdoc},
volume = {34},
number = {1},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VKAM_2021_34_1_a1/}
}
TY - JOUR AU - B. I. Islomov AU - G. B. Umarova TI - On a boundary value problem for a mixed equation with three planes of type change in an infinite prismatic domain JO - Vestnik KRAUNC. Fiziko-matematičeskie nauki PY - 2021 SP - 19 EP - 28 VL - 34 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VKAM_2021_34_1_a1/ LA - ru ID - VKAM_2021_34_1_a1 ER -
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B. I. Islomov; G. B. Umarova. On a boundary value problem for a mixed equation with three planes of type change in an infinite prismatic domain. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 34 (2021) no. 1, pp. 19-28. http://geodesic.mathdoc.fr/item/VKAM_2021_34_1_a1/