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A Quantitative Modulus of Continuity for the Two-Phase Stefan Problem.
- Source :
-
Archive for Rational Mechanics & Analysis . Nov2014, Vol. 214 Issue 2, p545-573. 29p. - Publication Year :
- 2014
-
Abstract
- We derive the quantitative modulus of continuity 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, ) and DiBenedetto (Ann Mat Pura Appl 103(4):131-176, ), in the sense that we discard one logarithm iteration and obtain an explicit value for the exponent α( n, p). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00039527
- Volume :
- 214
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Archive for Rational Mechanics & Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 97903710
- Full Text :
- https://doi.org/10.1007/s00205-014-0762-9