Existence and boundary regularity for degenerate phase transitions

Research output: Contribution to journalArticle


  • Paolo Baroni
  • Tuomo Kuusi
  • Casimir Lindfors
  • José Miguel Urbano

Research units

  • University of Parma
  • University of Coimbra


We study the Cauchy–Dirichlet problem associated to a phase transition modeled upon the degenerate two-phase Stefan problem. We prove that weak solutions are continuous up to the parabolic boundary and quantify the continuity by deriving a modulus. As a byproduct, these a priori regularity results are used to prove the existence of a so-called physical solution.


Original languageEnglish
Pages (from-to)456-490
Number of pages35
JournalSIAM Journal on Mathematical Analysis
Issue number1
Publication statusPublished - 1 Jan 2018
MoE publication typeA1 Journal article-refereed

    Research areas

  • Boundary modulus of continuity, Degenerate equations, Intrinsic scaling, Stefan problem

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