Article

Free boundary problem for a system of parabolic equations of the reaction-diffusion type

M. S. RasulovV.I. Romanovskiy Institute of Mathematics Uzbekistan Academy of Sciences; "TIIAME" National Research University

Izvestiya Vysshikh Uchebnykh Zavedenii Matematikajournal2025en

ABI

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.

Topics

Advanced Mathematical Modeling in Engineering Differential Equations and Numerical Methods Stability and Controllability of Differential Equations

Identifiers

DOI: 10.26907/0021-3446-2025-2-79-90

Citations and references

Cited by 1 17 references

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