Introduction to partial differential equations (8ECTS)

Lecture: Mi. 12:00-13:30 in  A5 6, C015, Fr. 10:15-11:45 in  A5 6, C014

Tutorial: Mi. 13:45-15:15 in  A5 6, C013

Course description: This is an introduction course to PDEs. It includes linear transport equation, wave equation, heat equation and Poisson equation. Derivation of the solution formula by using characteristic method, separation of variable, Fourier transform are given. Classical tools such as maximum principle and energy estimates are introduced in order to get uniqueness and stability of the solutions.

Language: English

References:

  • Lecture notes (online)
  • L. C. Evans, Partial differential equations
  • F. John, Partial Differential Equations
  • S. Salsa, Partial differential equations in action, from modelling to theory
  • W.A. Strauss, Partielle Differentialgleichungen 

Lecture notes