Abstract
The author presents a simple approach to both regularity and singularity theorems for free boundaries in classical obstacle problems. This approach is based on the monotonicity of several variational integrals, the Federer-Almgren dimension reduction and stratification theorems, and some simple PDE arguments.
Original language | English (US) |
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Pages (from-to) | 645-652 |
Number of pages | 8 |
Journal | Chinese Annals of Mathematics. Series B |
Volume | 30 |
Issue number | 5 |
DOIs | |
State | Published - 2009 |
Keywords
- Dimension reduction
- Free boundary
- Monotonicity
- Uniqueness of blow-ups
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics