2019
Том 71
№ 11

# Finite-Time Stabilization in Problems with Free Boundary for Nonlinear Equations in Media with Fractal Geometry

Abstract

By using the method of a priori estimates, we establish differential inequalities for energetic norms in $W^l_{2,r}$ of solutions of problems with a free bound in media with the fractal geometry for one-dimensional evolutionary equation. On the basis of these inequalities, we obtain estimates for the stabilization time $T$.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 7, pp 1177-1182.

Citation Example: Berezovsky A. A., Mitropolskiy Yu. A., Shkhanukov-Lafishev M. Kh. Finite-Time Stabilization in Problems with Free Boundary for Nonlinear Equations in Media with Fractal Geometry // Ukr. Mat. Zh. - 2005. - 57, № 7. - pp. 997–1001.

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