Gamma Convergence - Lecture 2

Gamma Convergence - Lecture 2

International Centre for Theoretical Sciences via YouTube Direct link

F is given by an integral functions

9 of 18

9 of 18

F is given by an integral functions

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Gamma Convergence - Lecture 2

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  1. 1 Gamma Convergence Lecture 2
  2. 2 Minimization problem
  3. 3 Alpha = inf Fy [Minimal value; Minimal point; Minimal sequence]
  4. 4 Graphs
  5. 5 Coercine
  6. 6 Definition
  7. 7 Theorem: Assume F. X-is Coercine and lsc
  8. 8 Proof:
  9. 9 F is given by an integral functions
  10. 10 Problem Solution
  11. 11 Concept of derivative
  12. 12 Exercise: assume u E C2 Omega
  13. 13 Integral functions
  14. 14 Proposition: F is lsc in strong topology
  15. 15 Two other functions
  16. 16 Weak lower semi continuity
  17. 17 Homogenization
  18. 18 Next

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