Key Research Areas
The main directions of research in the Analysis and Differential Equations Group include:
Analytic and Computational Spectral Theory.
Spectral
theory of differential operators on domains, manifolds and graphs,
including operators arising in mathematical physics and
non-self-adjoint problems.
Homogenization for (mainly elliptic) PDEs.
Function spaces & integral operators.
Computational spectral theory.
Inverse problems.
Applications in mathematical bioinformatics; internet security and risk
management; archaeology; image recognition; oceanology.
Viscosity solutions for subelliptic nonlinear PDEs.
Analysis in Carnot-Caratheodory spaces.
Asymptotic behaviour of nonlinear PDEs.
PDEs with random coefficients.
