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