Problems with free boundaries for nonlinear parabolic equations

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

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.
Published
25.10.1997
How to Cite
BerezovskyA. A., Berezovs’kyiM. A., and MitropolskiyY. A. “Problems With Free Boundaries for Nonlinear Parabolic Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 49, no. 10, Oct. 1997, pp. 1360–1372, https://umj.imath.kiev.ua/index.php/umj/article/view/5134.
Section
Research articles