Novel Phenomena in Steklov Type Problems
Lead Research Organisation:
University College London
Department Name: Mathematics
Abstract
The main objective of this project is to study the spectra of a large class of operators which we call Steklov Type Problems; they are also known as spectral problems for Dirichlet-to-Neumann maps. These problems have connections with electrical impedance tomography, shape analysis, and image processing as well as geometric analysis, inverse problems and fluid mechanics. These problems are also very interesting from the mathematical point of view; their systematic study has started only recently and, already, a large number of unexpected phenomena have been discovered. Our project concentrates on the further investigation and discovery of these novel phenomena.
Organisations
Publications
Averseng M
(2023)
Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies
Canzani Y
(2022)
Asymptotics for the spectral function on Zoll manifolds
Canzani Y
(2023)
Geodesic Beams in Eigenfunction Analysis
Canzani Y
(2023)
Weyl remainders: an application of geodesic beams
in Inventiones Mathematicae
Fang Y
(2023)
Inverse problems of damped wave equations with Robin boundary conditions: an application to blood perfusion
in Inverse Problems
Galkowski J
Lower bounds for Steklov eigenfunctions
in Pure and Applied Mathematics Quarterly
Galkowski J
(2023)
Lower bounds for Steklov eigenfunctions
in Pure and Applied Mathematics Quarterly