Free boundary problem for a system of parabolic equations of the reaction-diffusion type
Year: 2025
Type: article
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.
Source: Russian Mathematics
Author: M. S. Rasulov
Institution: Academy of Sciences Republic of Uzbekistan
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4408008764