University of Bath » Mathematical Sciences » Johannes Zimmer

Advanced PDEs, TCC course

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Academic year 2016-17, Semester 2

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General information | Lecturers | 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 philosophy of the course is to introduce methods, rather than focus on classes of equations. Consequently, the plan is to give an introduction (possibly less advance than the name of the course suggests) to a set of powerful tools in PDEs. This semester we will focus on methods of weak convergence and cover examples from the calculus of variations. Topics we want to discuss include direct methods, concentration compactness and mountain pass arguments.

Lecturers

	Marios Stamatakis	Office: 4W 5.5 Phone: (01225) 385633 Email: M.G.Stamatakis at bath.ac.uk
	Johannes Zimmer	Office: 6W 1.8 Phone: (01225) 386097 Email: zimmer at maths.bath.ac.uk

Lecture time and location

Fridays 13:00 - 15:00

In Bath, the lecture theatre is 3W 4.13.

The course runs during for 8 weeks, starting on 20 January.

Lecture news

• There will be no lectures on Friday 3 February.

Lecture notes

Notes for the first two lectures.

References

References are

• L. C. Evans, Weak convergence methods for nonlinear partial differential equations, CBMS Regional Conference Series in Mathematics, 1990
• Michael Struwe, Variational Methods, Springer, 2008
• Kyril Tintarev, and Karl-Heinz Fieseler, Concentration compactness, Imperial College Press, 2007

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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