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Università degli Studi di Parma Università degli Studi di Parma
University of Parma
Course catalogue
Università degli Studi di Parma
course catalogue

ADVANCED ANALYSIS 3
cod. 1000145

Academic year 2008/09
2° year of course - First semester
Professor
Academic discipline
Analisi matematica (MAT/05)
Field
Formazione analitica
Type of training activity
Characterising
60 hours
of face-to-face activities
6 credits
hub:
course unit
in - - -
lectures timetable unavailable
exam calls
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Learning objectives

Illustrate some advance concepts of geometric measure theory and introduce the students to contemporary research topics.

Prerequisites

Analysis courses of the first two years, topology of R^n, courses of "Spazi di funzioni" and "Teoria della misura e dell'integrazione".

Course unit content

Geometric measure theory. Functions with bounded variation. Sets with finite perimeter and reduced boundary. Fine properties of functions with bounded variation. Regularity of the reduced boundary. Parametric minimal surfaces and almost everywhere regularity.

Full programme

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Bibliography

Luigi Ambrosio, Nicola Fusco and Diego Pallara, "Functions of bounded variation and free discontinuity problems", Oxford mathematical monographs, 2000. Lawrence C. Evans and Ronald F. Gariepy, "Measure theory and fine properties of functions", CRC press, 1992. Enrico Giusti, "Minimal surfaces and functions of bounded variation", Birkhauser, 1984.

Teaching methods

Lessons. Oral examination, consisting of a seminar on a specific topic chosen by the teacher and the student and of a discussion of the main topics of the course.

Assessment methods and criteria

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Other information

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