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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2022 Volume 212, Pages 113–119 (Mi into1040)

On hyperbolic approximation of the problem of determining a source function

O. N. Cherepanova

Siberian Federal University, Krasnoyarsk

Abstract: The paper considers the unique solvability of the problem of determining source function in a hyperbolic heat equation with a small parameter as a coefficient to the second time derivative.

Keywords: problem of coefficient identification, inverse problem, partial differential equation, equation with a small parameter.

UDC: 517.9

MSC: 39A14

DOI: 10.36535/0233-6723-2022-212-113-119



© Steklov Math. Inst. of RAS, 2024