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Journal of Mathematical Sciences

, Volume 189, Issue 2, pp 274–283 | Cite as

Local solvability of a one-phase problem with free boundary

  • N. Yu. Selivanova
  • M. V. Shamolin
Article

Abstract

A certain one-phase problem with free boundary is studied. The local (in time) solvability of this problem is proved; moreover, the general method elaborated is applied in a more concrete case. For this purpose, a new change of variables and the parametrization of the boundary are introduced, and the problem studied is reduced to a problem in a constant domain.

Keywords

Free Boundary Hyperbolic System Variable Domain Stefan Problem Concrete Case 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.All-Russian Institute for Scientific and Technical InformationRussian Academy of SciencesMoscowRussia
  2. 2.M. V. Lomonosov Moscow State UniversityMoscowRussia

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