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A Free Boundary Problem for a Predator-Prey System

M. S. Rasulov,A. N. Elmurodov

Lobachevskii Journal of Mathematics（2023）

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Abstract
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.
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Key words
free boundary problem,free boundary,system,predator-prey
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