Objective
"This project will focus on the development of new methods for the study of spectral problems of non-selfadjoint operators and the application of these methods to real-world problems. We will organise a range of activities to promote our research and, more generally, mathematical analysis to scientists and students.
Non-selfadjoint operators and spectral problems arise naturally in many application areas such as hydrodynamics and MHD, lasers, scattering and inverse scattering problems, and numerical methods for photonic crystal fibres. The spectral behaviour of these operators exhbits many new phenomena compared to selfadjoint operators. The spectral theorem and variational principles are not valid. Unable to make use of these methods, we turn to an exciting technique, boundary triples, with which we have already recently obtained very general results for PDEs under minimal and natural hypotheses, with few technical complications.
Our first problem we will consider is the explicit construction of a functional model for a wide class of operators. This will yield many new results for differential operators in terms of their coefficients
rather than in completely abstract terms as at present. Our second problem is to analyse the `detectable subspace' in inverse problems: the maximal part of the operator which can be reconstructed from boundary measurements. Further problems will include PT-symmetric operators and operators with almost Hermitian spectrum. Finally, we will investigate in detail a class of highly singular ODEs.
Our outreach activities will include the organisation of two workshops for scientists, several lecture series, as well as a summer school for postgraduates and some workshops for undergraduate students."
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
- natural sciences mathematics applied mathematics numerical analysis
- natural sciences physical sciences optics laser physics
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP7-PEOPLE-2011-IIF
See other projects for this call
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
CT2 7NZ Canterbury, Kent
United Kingdom
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.