Introduction to Partial Differential Equations

Lecturer: Dr. Ross Ogilvie

Lectures

tuesday 5:15 pm – 6:45 pm in A 301
thursday 3:30 pm – 5:00 pm in A 301

Excersies

tuesday 3:30 pm – 5:00 pm in A 301

 

Script: chapter_1, chapter_2, chapter_3, chapter_4, chapter_5

Tutorials

Time:

The first tutorial will mostly consider background material and you do not have to submit the first exercise sheet. Thereafter, please email your exercises by 12:00 the day before the tutorial, so I (Ross) can mark them and give feedback. A minimum of 50% of the exercise points is necessary to be admitted to the exam.

Exercise Sheets:

Sheet 1 – Solutions

Sheet 2 – Solutions – Transport Eq, Inhom Transport Eq

Sheet 3 – Solutions – There is a justification of the entropy condition on physical grounds in Evans' book Partial Differential Equations pg 142-3.

Sheet 4 – Solutions – Functions with compact support

Sheet 5 – Solutions – Convolutions

Sheet 6 – Solutions

Sheet 7 – Solutions

Sheet 8 – Solutions

Sheet 9 – Solutions

Sheet 10 – Solutions – Separable Solutions, Heat Kernel

Sheet 11 – Solutions – Heat Ball

Sheet 12 – Solutions – Solution using Representation Formula

Sheet 13 – Solutions – Reflected Waves

Sheet 14 – Solutions – 2D Plane Wave, Spherical Wave

All Sheets in one pdf – All Solutions

For your interest, here are two papers about PDE theory broadly: a historical perspective and on the unity of the subject.