Partial Differential Equations
Dutch Master in Mathematics course
`Partial Differential Equations'
Arjen Doelman (CWI/UvA),
Joost Hulshof (VU)
Arjen Doelman `Lecture notes on `Partial Differential Equations''
James C. Robinson `Infinite-Dimensional Dynamical Systems -- An introduction
to dissipative parabolic PDEs and the theory of global attractors',
Cambridge Texts in Applied Mathematics (2001)
Note: The lecture notes can be seen as an introduction to the field of
partial differential equations and to the book. The book will be used in
the second half of the semester.
Some background material on the first part of the course.
Period: fall 2006
Place: S203, de Boelelaan 1081, Vrije Universiteit, Amsterdam
Time: Mondays, 14 - 17 h
More information on
the `Dutch Master Program in Mathematics'
Week 37 (Doelman)
Linear first order equations.
First 5 Chapters of the Lecture Notes.
Week 38 (Doelman)
First order equations in R^n.
Introduction to shock waves.
Week 39 (Doelman)
The concept of weak solutions.
The Rankine-Hugoniot jump condition.
Week 40 (Doelman)
Classification of second order equations.
The wave equation in R^1.
Exercise Series I.
To be handed in by October 23.
Week 41 (Doelman)
The diffusion equation in R^1.
The wave equation on a bounded interval: the phenomenon of resonance.
An introduction to elliptic equations.
Week 42 (Doelman)
Fundamental solutions of the Laplace equation.
Green's representation theorem and Green's functions.
The updated Lecture Notes.
Week 43 (Doelman)
Exercise Series II.
To be handed in by November 20.
Week 44 and later (Hulshof)
Last modified: Wednesday, 15-Nov-2006 16:45:03 CET