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On Regularity and Singularity of Free Boundaries in Obstacle Problems |
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| Authors: | Fanghua LIN |
| Institution: | Dedicated to Professor Andrew Majda on the Occasion of his 60th Birthday |
| 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 |
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