 Aims
Aims to provide with the bases of functional analysis necessary to a modern study of partial differential equations, optimisation problems, numerical analysis, etc.
Main themes
- Hahn-Banach, Banach- Steinhaus, closed graph theorems.
- Lebesgue Lp spaces : completeness, density, regularization, compactness.
- Duality and weak convergence : duality of spaces Lp, weak sequential compactness, etc.
- Weak derivatives and Sobolev spaces
- Spectral theory: compact operators, etc.
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)
Evaluation: quaterly written examination.
References: H. Brezis, Analyse fonctionelle; M. Willem, book in preparation
Other credits in programs
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MAP22
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Deuxième année du programme conduisant au grade d'ingénieur civil en mathématiques appliquées
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(5 credits)
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MATH21/E
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Première licence en sciences mathématiques (Economie mathématique)
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(5 credits)
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Mandatory
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MATH21/G
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Première licence en sciences mathématiques (Général)
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(5 credits)
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Mandatory
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MATH21/S
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Première licence en sciences mathématiques (Statistique)
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(5 credits)
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Mandatory
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