Quantitative stratification for some free-boundary problems
| Autor: | Max Engelstein, Nick Edelen |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Applied Mathematics
General Mathematics 010102 general mathematics 01 natural sciences Stratification (mathematics) Mathematics - Analysis of PDEs 0103 physical sciences FOS: Mathematics Mathematics::Metric Geometry Applied mathematics 010307 mathematical physics 0101 mathematics Analysis of PDEs (math.AP) Mathematics |
| Zdroj: | Transactions of the American Mathematical Society. 371:2043-2072 |
| ISSN: | 1088-6850 0002-9947 |
| DOI: | 10.1090/tran/7401 |
| Popis: | In this paper we prove the rectifiability of and measure bounds on the singular set of the free boundary for minimizers of a functional first considered by Alt-Caffarelli. Our main tools are the Quantitative Stratification and Rectifiable-Reifenberg framework of Naber-Valtorta, which allow us to do a type of "effective dimension-reduction." The arguments are sufficiently robust that they apply to a broad class of related free boundary problems as well. Comment: This version has minor corrections and additional references |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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