Abstract
We derive the quantitative modulus of continuity (Formula Presented) which we conjecture to be optimal for solutions of the p-degenerate two-phase Stefan problem. Even in the classical case p = 2, this represents a twofold improvement with respect to the early 1980’s state-of-the-art results by Caffarelli– Evans (Arch Rational Mech Anal 81(3):199–220, 1983) and DiBenedetto (Ann Mat Pura Appl 103(4):131–176, 1982), in the sense that we discard one logarithm iteration and obtain an explicit value for the exponent α(n, p).
Original language | English (US) |
---|---|
Pages (from-to) | 545-573 |
Number of pages | 29 |
Journal | Archive for Rational Mechanics and Analysis |
Volume | 214 |
Issue number | 2 |
DOIs | |
State | Published - Jan 1 2014 |
Externally published | Yes |
ASJC Scopus subject areas
- Mechanical Engineering
- Analysis
- Mathematics (miscellaneous)