Additional Info

• ECTS credits: 6
• University: University of L'Aquila
• Semester: 3
• Lecturer 1: Corrado Lattanzio
• Objectives:

   

  The main objectives of the course are as follows:

  • to provide knowledge of mathematical methods that are widely used by researchers in the area of Applied Mathematics;
  • to apply this knowledge to a variety of topics, including the basic equations of mathematical physics and some current research topics about nonlinear equations (traffic flow, gas dynamics, fluid dynamics).
• Topics:

   

  • Measure and integration theory.
  • Functions of bounded variation.
  • Distributions theory.
  • Fourier transform. Sobolev spaces.
  • Application to the study of partial differential equations:
  • elliptic equations of second order, parabolic equations of second order, hyperbolic systems of first-order equations, nonlinear conservation laws.
  • An outline of semigroup theory.