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| On Regularity and Singularity of Free Boundaries in Obstacle Problems |
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Citation： |
Fanghua LIN.On Regularity and Singularity of Free Boundaries in Obstacle Problems[J].Chinese Annals of Mathematics B,2009,30(5):645~652 |
| Page view： 2224
Net amount： 1224 |
Authors： |
Fanghua LIN; |
Foundation： |
the National Science Foundation (No. DMS 0700517). |
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| 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. |
Keywords： |
Free boundary, Monotonicity, Dimension reduction, Uniqueness of blow-ups |
Classification： |
35R35, 49J40 |
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