University of Bath » Mathematical Sciences » Johannes Zimmer

Advanced PDEs, TCC course

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Academic year 2018-19, Semester 2

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General information | Lecturer | Lecture time and location | Lecture news | Lecture notes | References | Assessment |

General information

The aim of this course is to give an introduction to some modern tools to study partial differential equations (PDEs). The plan is to start with elliptic theory, such as Harnack inequalities, and then discuss viscosity solutions. Yet, this plan can be modified, and topics can be chosen according to the interest of the audience. The choice of topics will be discussed in the first lecture.

Update: The audience decided at the beginning of the course that we should cover direct methods in the calculus of variations and parabolic equations plus possibly critical point methods rather than the topics listed above. So this is now the plan.

Lecturer

Johannes Zimmer

Office: 6W 1.4 Phone: (01225) 386097 Email: zimmer at maths.bath.ac.uk

Lecture time and location

Fridays 13:00 - 15:00 (New time!)

In Bath, the lecture theatre is 3W 4.13.

The course runs during for 8 weeks, starting on 18 January.

Lecture news

• Friday 1 February 2019: Bath Uni is closed due to heavy snowfall, all lectures are cancelled. Please read Subsection 2.2 (pages 34-38) in the notes, and come with questions on this chapter next week. I will then go through this section next week in as much detail as seems appropriate (possibly just a brief summary, or a more detailed discussion, depending on the feedback).
• There will be no lectures on Friday 25 January.

Lecture notes

Lecture notes will be made available to the participants.

References

The lecture notes give references for this unit.

Assessment

Assessment will be in form of an essay on one of the topics covered in class, using additional material we will provide in the lectures.

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