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Two-phase Stefan problems for parabolic-elliptic equations

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Publication:914080
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DOI10.3792/pjaa.64.377zbMath0701.35158OpenAlexW1980729066MaRDI QIDQ914080

Toyohiko Aiki

Publication date: 1988

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.64.377


zbMATH Keywords

existenceuniquenessStefan problemparabolic-ellipticDirichletNeumannmushy regionSignorini


Mathematics Subject Classification ID

PDEs of mixed type (35M10) Free boundary problems for PDEs (35R35)


Related Items

Some nonlinear equations of the nonstable filtration type and embedding theorems



Cites Work

  • On the existence of the weak solution and the regularity of the free boundary to a one-dimensional two-phase degenerate Stefan problem
  • On the Weak Solution of Moving Boundary Problems
  • Degenerate diffusion and the Stefan problem
  • The Stefan Problem With Heating: Appearance and Disappearance of a Mushy Region
  • A class of nonlinear elliptic—parabolic equations with time-dependent constraints
  • Unnamed Item


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