Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/44398
Title: | A Quantitative Modulus of Continuity for the Two-Phase Stefan Problem | Authors: | Baroni, Paolo Kuusi, Tuomo Urbano, José Miguel |
Issue Date: | 2014 | Publisher: | Springer | Project: | PEst-C/MAT/UI0324/2011 | Serial title, monograph or event: | Archive for Rational Mechanics and Analysis | Volume: | 214 | Issue: | 2 | Abstract: | We derive the quantitative modulus of continuity \omega(r)=\left[ p+\ln \left( \frac{r_0}{r}\right)\right]^{-\alpha (n, p)}, 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). | URI: | https://hdl.handle.net/10316/44398 | DOI: | 10.1007/s00205-014-0762-9 10.1007/s00205-014-0762-9 |
Rights: | embargoedAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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File | Description | Size | Format | |
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Urbano_paper3.pdf | 444.57 kB | Adobe PDF | View/Open |
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