Existence and boundary regularity for degenerate phase transitions
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2018-01-01
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Language
en
Pages
35
456-490
456-490
Series
SIAM Journal on Mathematical Analysis, Volume 50, issue 1
Abstract
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.Description
Keywords
Boundary modulus of continuity, Degenerate equations, Intrinsic scaling, Stefan problem
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Citation
Baroni, P, Kuusi, T, Lindfors, C & Urbano, J M 2018, ' Existence and boundary regularity for degenerate phase transitions ', SIAM Journal on Mathematical Analysis, vol. 50, no. 1, pp. 456-490 . https://doi.org/10.1137/17M1121585