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

Authors

  • 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 Wl2,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

Issue

Section

Short communications

How to Cite

Berezovsky, A. A., et al. “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.