- Oggetto:
Geometrical Aspects of PDEs
- Oggetto:
Geometrical Aspects of PDEs
- Oggetto:
Academic year 2023/2024
- Teachers
- Alessandro Iacopetti
Nicola Soave
Susanna Terracini
Alessandro Audrito - Teaching period
- Sept-Dec
- Type
- Basic
- Credits/Recognition
- 6
- Course disciplinary sector (SSD)
- MAT/03 - geometry
MAT/05 - mathematical analysis - Delivery
- Formal authority
- Language
- English
- Attendance
- Obligatory
- Type of examination
- Oral
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Sommario del corso
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Program
Content:
Borel and Radon measures
Differentiation of Radon measures and applications
Rectifiable sets and blow-ups of Radon measures
The coarea formula
De Giorgi's structure theorem
Sets of finite perimeter
First and second variation of perimeter
Free boundary problems
The prescribed mean curvature equation in the Lorentz-Minkowski space and open problemsHours: 30 (10+10+10)
In collaboration with prof. Alessandro Audrito from Politecnico di Torino
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Course delivery
TBA
Suggested readings and bibliography
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- Book
- Title:
- Sets of finite perimeter and geometric variational problems
- Year of publication:
- 2012
- Publisher:
- Cambridge University Press
- Author:
- Francesco Maggi
- Required:
- No
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