Advanced Analysis 2

Unit Coordinator: Margherita Nolasco
Programme: Double Degrees
ECTS Credits: 6
Semester: 2
Year: 2
Campus: University of L'Aquila
Language: English
Aims:

Aim of the course is the knowledge of advanced techniques of mathematical analysis and in particular the basic techniques of the modern theory of the partial differential equations.

Content:
  • Abstract Measure theory.
  • AC and BV functions.
  • Fourier transforms.
  • Second order elliptic equations.
  • Variational methods.
 
Pre-requisites:
  • A good knowledge of the basic arguments of a course of Functional Analysis, in particular, a good knowledge of the theory of Lebesgue's integral and the L^p spaces.
  • The first module of the course, in particular a good knowledge of the theory of distributions and Sobolev spaces.

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