2017
Том 69
№ 6

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Problems with free boundaries for nonlinear parabolic equations

Berezovs'kyi M. A., Berezovsky A. A., Mitropolskiy Yu. A.

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Abstract

We establish necessary conditions for the existence of effects of space localization and stabilization in time that are qualitatively new for evolutionary equations. We suggest constructive methods for the solution of the corresponding one-dimensional problems with free boundaries that appear in ecology and medicine.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 10, pp 1533-1547.

Citation Example: Berezovs'kyi M. A., Berezovsky A. A., Mitropolskiy Yu. A. Problems with free boundaries for nonlinear parabolic equations // Ukr. Mat. Zh. - 1997. - 49, № 10. - pp. 1360–1372.

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