On One Nonlocal Problem with Free Boundary

Authors

  • 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.

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Published

25.07.2001

Issue

Vol. 53 No. 7 (2001)

Section

Research articles

How to Cite

Berezovsky, A. A., et al. “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.