The analysis group at the University of Bath meets weekly to discuss a wide range of topics. These include operator theory, control theory and PDEs, among many others. More details can be found in this website.
Speaker: Pablo Vinuesa.
Title: Pseudo-differential operators on R^n.
Abstract: As a first approach, a pseudo-differential operator can be seen as the generalisation of Fourier multiplier operators. Its "symbol" will depend in the frequency variable and the spatial variable. In contrast a Fourier multiplier only depends on the frequency variable. These symbols can be classified into classes, which are usually called Hormander classes. During this talk I will introduce these operators and discuss the classes of symbols. Some important properties will also be proved.
Speaker: Owen Pembery.
Title: An Introduction to Bochner Spaces
Abstract: If you've ever considered the solution of a time-dependent PDE, or a stochastic PDE, you've probably been looking at an element of a Bochner space. These are generalisations of $L^p$ spaces, where we consider functions that take values in a Banach space. In this talk I'll give an overview of Bochner spaces and explain some of their uses, properties, and idiosyncrasies.
Speaker: Xavier Pellet.
Speaker: Serena D'Onofrio.
Speaker: James Roberts.
If you have any questions, you can contact me by email: P.Vinuesa@bath.ac.uk