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Gamma Convergence Lecture 2
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Minimization problem
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Alpha = inf Fy [Minimal value; Minimal point; Minimal sequence]
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Graphs
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Coercine
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Definition
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Theorem: Assume F. X-is Coercine and lsc
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Proof:
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F is given by an integral functions
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Problem Solution
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Concept of derivative
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Exercise: assume u E C2 Omega
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Integral functions
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Proposition: F is lsc in strong topology
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Two other functions
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Weak lower semi continuity
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Homogenization
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Next
Description:
Explore gamma convergence in this comprehensive lecture from the International Centre for Theoretical Sciences' program on Multi-Scale Analysis and Theory of Homogenization. Delve into minimization problems, coercivity, and lower semi-continuity concepts. Examine integral functions, weak lower semi-continuity, and their applications in homogenization theory. Work through exercises and problem-solving sessions to reinforce understanding of these advanced mathematical concepts. Gain insights into recent developments and ongoing research in multi-scale analysis, preparing you for further study or collaboration in this field.

Gamma Convergence - Lecture 2

International Centre for Theoretical Sciences
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