AOS

Asymptotics of Operator Semigroups

Coordinatore	INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK.    more  Organization address address: ul. Sniadeckich 8 city: WARSZAWA postcode: 956 contact info Titolo: Prof. Nome: Yuriy Cognome: Tomilov Email: send email Telefono: 48508586359
Nazionalità Coordinatore	Poland [PL]
Totale costo	109˙200 €
EC contributo	109˙200 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-2012-IRSES
Funding Scheme	MC-IRSES
Anno di inizio	2012
Periodo (anno-mese-giorno)	2012-11-01   -   2016-10-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK.  Organization address address: ul. Sniadeckich 8 city: WARSZAWA postcode: 956 contact info Titolo: Prof. Nome: Yuriy Cognome: Tomilov Email: send email Telefono: 48508586359	PL (WARSZAWA)	coordinator	14˙700.00
2	Karlsruher Institut fuer Technologie  Organization address address: Kaiserstrasse 12 city: Karlsruhe postcode: 76131 contact info Titolo: Ms. Nome: Natascha Cognome: Katz Email: send email Telefono: +49 721 608 43727 Fax: +49 721 608 47650	DE (Karlsruhe)	participant	12˙600.00
3	TECHNISCHE UNIVERSITAET DRESDEN  Organization address address: HELMHOLTZSTRASSE 10 city: DRESDEN postcode: 1069 contact info Titolo: Mrs. Nome: Friederieke Cognome: Noack Email: send email Telefono: +49 351 463 42191 Fax: +49 351 463 39742	DE (DRESDEN)	participant	12˙600.00
4	UNIVERSITAET ULM  Organization address address: HELMHOLTZSTRASSE 16 city: ULM postcode: 89081 contact info Titolo: Prof. Nome: Wolfgang Cognome: Arendt Email: send email Telefono: +49 731 50 23560 Fax: +49 731 50 23619	DE (ULM)	participant	12˙600.00
5	UNIWERSYTET MIKOLAJA KOPERNIKA W TORUNIU  Organization address address: UL. JURIJA GAGARINA 11 city: TORUN postcode: 87100 contact info Titolo: Prof. Nome: Mariusz Cognome: Lemanczyk Email: send email Telefono: +48 56 6112932 Fax: +48 56 6112987	PL (TORUN)	participant	12˙600.00
6	THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD  Organization address address: University Offices, Wellington Square city: OXFORD postcode: OX1 2JD contact info Titolo: Mr. Nome: Gill Cognome: Wells Email: send email Telefono: +44 1865 289800 Fax: +44 1865 289801	UK (OXFORD)	participant	10˙500.00
7	MATEMATICKY USTAV AV CR V.V.I.  Organization address address: ZITNA 609/25 city: PRAHA 1 postcode: 115 67 contact info Titolo: Prof. Nome: Vladimir Cognome: Muller Email: send email Telefono: +420 222 090 788	CZ (PRAHA 1)	participant	8˙400.00
8	TEL AVIV UNIVERSITY  Organization address address: RAMAT AVIV city: TEL AVIV postcode: 69978 contact info Titolo: Prof. Nome: Eli Cognome: Glasner Email: send email Telefono: +972 3 640 9356	IL (TEL AVIV)	participant	8˙400.00
9	UNIVERSITE D'AIX MARSEILLE  Organization address address: Boulevard Charles Livon 58 city: Marseille postcode: 13284 contact info Titolo: Ms. Nome: Céline Cognome: Damon Email: send email Telefono: +33 4 91 99 85 95 Fax: +33 4 91 99 85 99	FR (Marseille)	participant	8˙400.00
10	UNIVERSITE DES SCIENCES ET TECHNOLOGIES DE LILLE  Organization address address: Cité Scientifique Batiment A3 city: VILLENEUVE D'ASCQ postcode: 59655 contact info Titolo: Mrs. Nome: Muriel Cognome: Vernay Email: send email Telefono: +33 3 20 43 65 13 Fax: +33 3 20 33 61 95	FR (VILLENEUVE D'ASCQ)	participant	8˙400.00

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 Obiettivo del progetto (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.'