Advanced Analysis 2

Additional Info

  • ECTS credits: 6
  • Semester: 2
  • University: University of L'Aquila
  • Prerequisites:

    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.

  • Objectives:

    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.

  • Topics:

    Abstract Measure theory.

    AC and BV functions.

    Fourier transforms.

    Second order elliptic equations.

    Variational methods.

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