Objective
It is planned to obtain some estimates of a functional calculus (defined in terms of the Lap lace transform) for semi groups. To this aim the duality method successfully used by the applicant for the single operator case (with the spectrum in the unit disc) shall be applied. Most interesting is the case of bounded semi groups and semi groups whose generators (with the spectrum in the left half plane) satisfy some resolving growth conditions (analogues of Kris and Tadmor-Ritt conditions for a single operator). In particular, in the case of entire functions of a given exponential type (which are analogues of the polynomials of a given degree), one can hope to obtain some estimates in terms of the type. Some intermediate stages will consist in finding a half plane version of the notions and theorems that have been used in the case of a single operator: the Besot classes and the spaces of Cauchy-Stieltjes integrals and their multipliers, the Rises turndown collar theorem on the uniform convergence of power series, etc. It is intended to study the sharpness of the estimates obtained in the case of semi groups, and also in the single operator case where the question remains unanswered (i.e. for operators on Hilbert spaces). This, probably, could be done with the help of the functional model and Foguel-Hankel operators. Applications to evolution equations shall be elaborated.
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: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics algebra linear algebra
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
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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.
FP6-2002-MOBILITY-5
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Funding Scheme
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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
ULM
Germany
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.