B6 Universitätsgebäude

MAA 510 – Introduction to Partial Differential Equations

General Information

Lectures: Prof Li Chen

Tutorial: Yueying Yang

MAA 510 Intro PDETimeRoom
LectureMonday 15:30 – 17:00A 5, 6 C 015
 Tuesday 15:30 – 17:00A 5, 6 C 015
TutorialWednesday 13:45 – 15:15A 5, 6 C 015

Please use this link to enter the ILIAS group where we will upload the materials.

Exam form: Oral (by arrangement)
Language: English

Contents

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.

References:

  • Lecture notes (online)
  • Lishang Jiang and Yazhe Chen, Lecture nots on math-physics PDEs
  • 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