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

  • A. A. Berezovsky
  • Yu. A. Mitropolskiy
  • M. Kh. Shkhanukov-Lafishev

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 $T$.
Published
25.07.2005
How to Cite
BerezovskyA. A., MitropolskiyY. A., and Shkhanukov-LafishevM. K. “Finite-Time Stabilization in Problems With Free Boundary for Nonlinear Equations in Media With Fractal Geometry”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, no. 7, July 2005, pp. 997–1001, https://umj.imath.kiev.ua/index.php/umj/article/view/3658.
Section
Short communications