On One Nonlocal Problem with Free Boundary

  • A. A. Berezovsky
  • Yu. A. Mitropolskiy
  • T. M. Netesova

Abstract

We investigate group-theoretic properties of a nonlocal problem with free boundary for a degenerating quasilinear parabolic equation. We establish conditions for the invariant solvability of this problem, perform its reduction, and obtain an exact self-similar solution.
Published
25.07.2001
How to Cite
BerezovskyA. A., MitropolskiyY. A., and NetesovaT. M. “On One Nonlocal Problem With Free Boundary”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 53, no. 7, July 2001, pp. 908-1, https://umj.imath.kiev.ua/index.php/umj/article/view/4312.
Section
Research articles