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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2021 Volume 36, Number 3, Pages 29–39 (Mi vkam488)

MATHEMATICS

On an analogue of the tricomi problem for a «pointwise» loaded hyperbolic-parabolic equation

K. U. Khubiev

Institute of Applied Mathematics and Automation of KBSC RAS

Abstract: The unique solvability of an analogue of the Tricomi problem is investigated for a loaded hyperbolic-parabolic equation. The load is determined at boundary and interior fixed points of the domain in which the solutions are sought. Sufficient conditions are found for the existence and uniqueness of solutions.

Keywords: loaded equation, equation of mixed type, hyperbolic-parabolic equation, Tricomi problem.

UDC: 517.95

MSC: Primary 35M10; Secondary 35M12

DOI: 10.26117/2079-6641-2021-36-3-29-39



© Steklov Math. Inst. of RAS, 2025