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Free boundary problem for a system of parabolic equations of the reaction-diffusion type
https://doi.org/10.26907/0021-3446-2025-2-79-90
Abstract
This paper considers a free boundary problem for a system of quasi-linear parabolic equations in one dimension. Nonlinear problems with a free boundary are studied using a method based on constructing a priori estimates. For the solutions of the problem, apriory estimates of Shauder type are established. On the base of apriory estimates, the existence and uniqueness theorems are proved.
About the Author
M. S. Rasulov
V.I. Romanovskiy Institute of Mathematics Uzbekistan Academy of Sciences; "TIIAME" National Research University
Uzbekistan
Uzbekistan
Mirojiddin S. Rasulov.
9 University str., Tashkent, 100174; 39 Kori Niyozov str., Tashkent, 100000
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Review
For citations:
Rasulov M.S. Free boundary problem for a system of parabolic equations of the reaction-diffusion type. Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika. 2025;(2):79-90. (In Russ.) https://doi.org/10.26907/0021-3446-2025-2-79-90
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