Introduction to Partial Differential Equations

Lecturer: Prof Li Chen

Lectures: Wednesdays, 12:00 - 13:30 B6, 26 - A 203, Thursdays, 10:15 - 11:45, B6, 26 - A 203

Tutorial : Thursdays, 8:30 - 10:00 (from the third week, B6 A304)

Language: English

Exercise sheet will be published online before Wednesdays 18:00. The answers for the exercise sheet should be handed in before the Wednesday tutorial in Box No. 46216.

Exam: The oral exam will be taken place in B6 28 C411 in December 2019.

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