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Details of Grant 

EPSRC Reference: EP/V051636/1
Title: Novel Phenomena in Steklov Type Problems
Principal Investigator: Galkowski, Dr J
Other Investigators:
Parnovski, Professor L
Researcher Co-Investigators:
Project Partners:
Department: Mathematics
Organisation: UCL
Scheme: Standard Research
Starts: 01 March 2022 Ends: 28 February 2026 Value (£): 528,439
EPSRC Research Topic Classifications:
Mathematical Analysis
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
EP/V051881/1
Panel History:
Panel DatePanel NameOutcome
23 Feb 2021 EPSRC Mathematical Sciences Prioritisation Panel February 2021 Announced
Summary on Grant Application Form
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.
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