Article

A quasilinear parabolic equation of the reaction-diffusion type with free boundary

M. S. Rasulov"TIIAME National Research University" National Research University, Kori Niyoziy str., 39, M.Ulugbek district, Tashkent, 100000, UzbekistanА. У. Норов

AIP conference proceedingsjournal2024en

ABI

Abstract

In this paper, we study the problem for a quasilinear parabolic equation with free boundary. To solve the problem, a priori estimates of the Hölder norms are established. On the basic of a priori estimates, the existence and uniqueness of the solution is proved.

Topics

Differential Equations and Numerical Methods Advanced Mathematical Modeling in Engineering Differential Equations and Boundary Problems

Identifiers

DOI: 10.1063/5.0201572

Citations and references

Cited by 024 references

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