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A Free Boundary Problem for a Predator-Prey System

M. S. RasulovRomanovskii Institute of Mathematics, Academy of Sciences of Uzbekistan, 100174, Tashkent, UzbekistanA. N. ElmurodovRomanovskii Institute of Mathematics, Academy of Sciences of Uzbekistan, 100174, Tashkent, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2023en

ABI

Annotatsiya

In this paper we consider a free boundary problem for a system of quasilinear parabolic equations of the reaction-diffusion type. Methods for obtaining a priori estimates in the norms of Hölder spaces for the solution are proposed. On the basis of these estimates, the existence and uniqueness of the solution are proved.

Mavzular

Differential Equations and Numerical Methods Differential Equations and Boundary Problems Stability and Controllability of Differential Equations

Identifikatorlar

DOI: 10.1134/s1995080223070375

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