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Regularity of Free Boundaries in Obstacle Problems - Lecture III

Regularity of Free Boundaries in Obstacle Problems - Lecture III

Hausdorff Center for Mathematics via YouTube Direct link

Monotonicity formula

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Monotonicity formula

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Regularity of Free Boundaries in Obstacle Problems - Lecture III

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  1. 1 Intro
  2. 2 Types of possible blowups
  3. 3 Classification of blowups
  4. 4 Free boundary
  5. 5 Boundary harmonic inequality
  6. 6 Proof
  7. 7 Singular points
  8. 8 Monotonicity formula
  9. 9 Proof of uniqueness of blowups
  10. 10 Continuous dependence on blowups

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