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A Free Boundary Problem for a Diffusion-Convection Equation with Nonlocal Condition
J. Takhirov, M. Rasulov
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Source: Crossref
Published: Oct 6, 2026
DOI: 10.29229/uzmj.2026-3-19
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In this paper, we consider a free boundary problem for a diffusion-convection equation with a nonlocal boundary condition. 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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