Journal of Siberian Federal University. Mathematics & Physics / On the Solvability of a Burgers-type Equation with a Specia Type of Nonlinearity

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2023 16 (5)
Authors
Frolenkov, Igor V.; Sorokin, Roman V.; Zubrov, Ivan E.
Contact information
Frolenkov, Igor V.: Siberian Federal University Krasnoyarsk, Russian Federation; ; Sorokin, Roman V.: Siberian Federal University Krasnoyarsk, Russian Federation; ; Zubrov, Ivan E.: Siberian Federal University Krasnoyarsk, Russian Federation;
Keywords
inverse problem; parabolic equation; Burgers type equation; Cauchy problem; weak approximation method
Abstract

This paper considers a one-dimensional parabolic Burgers equation of special form with Cauchy data. When proving the theorem on the solvability of this problem, we used the method of weak approximation developed by Yu.Ya. Belov. The results of this paper reinforce the results obtained in [2]

Pages
690–699
EDN
YWCEYV
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/151669