Objective
The theory of asymptotic behaviour of operator semigroups is a comparatively new field serving as a common denominator for many other areas
of mathematics, such as for instance the theory of partial differential equations, complex analysis, harmonic analysis and topology.
The primary interest in the study of asymptotic properties of strongly continuous operator semi-groups comes from the fact that such semigroups
solve abstract Cauchy problems which are often models for various phenomena arising in natural sciences, engineering and economics.
Knowledge of the asymptotics of semigroups allows one to determine the character of long-time evolution of these phenomena.
Despite an obvious importance, the asymptotic theory of one-parameter strongly continuous operator semigroups was for a very long time a
collection of scattered facts rather than an organized area of research. The interest increased in the 1980s and the theory has witnessed a
dramatic development over the past thirty years.
Still there is a number of notorious open problems that have been left open. These missing blocks prevent the theory from being complete, slow
down the development of the theory and discourage specialists from related fields to engage into the theory.
The goal of the project is to give new impetus to the theory of asymptotic behavior of operator semigroups. To this aim we plan to extend and
unify various aspects of the asymptotic theory of operator semigroups: stability, hyperbolicity, rigidity, boundedness, relations to Fredholm
property, to work out new methods and to solve several long-standing open problems thus giving the theory its final shape.
We intend to create an international forum that enables and promotes a multi- and cross- disciplinary exchange of ideas, methods and tools under the common umbrella of asymptotic theory of operator semigroups. Thus we expect that, moreover, a wide range of modern analysis will benefit from the project.
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 complex analysis
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
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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-2012-IRSES
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.
MC-IRSES - International research staff exchange scheme (IRSES)
Coordinator
00-656 Warszawa
Poland
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.