C0 - semigroups and beyond

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WG1 - C0 - semigroups and beyond

Overview

The theory of C0-semigroups, time-continuous linear dynamical systems, is a useful tool to study evolution equations. There is a one-to-one correspondence between these objects and well-posed abstract Cauchy problems on Banach spaces. In many situations, however, the notion of C0-semigroups is not satisfactory, and depending on the framework there are a couple of competing approaches. This Working Group will generalize the theory of semigroups by relaxing the classical theory and studying some novel continuity concepts. These are, for example, important to obtain the well-posedness on Lor continuous function spaces on infinite networks.

Especially important for applications will be the study of systems driven by two competing processes: (Additive) perturbation theory asks for conditions on a linear operator B such that the sum A + B (defined in an appropriate sense) generates a C0-semigroup, whenever A does. In this case, a formula (or an approximation) relating the perturbed and the unperturbed semigroups is also desired.

Tasks

  1. Generalize the theory of C0-semigroups by modifying analytic or algebraic features.
  2. Study examples which are appropriate for the theory (in collaboration with W2 and W3).
  3. Obtain stability results for the semigroup in terms of spectral properties of the generating operator.
  4. Develop perturbation results for the semigroups discussed above.
  5. In collaboration with WG5 develop appropriate numerical methods for applications.
  6. Use perturbation results for questions regarding control of the system.

Members

Leader

Abdelaziz RHANDI Italy

University of Salerno
Via Giovanni Paolo II, 132
Fisciano (Salerno)
Italy
Vice Leader

Balint FARKAS Germany

University of Wuppertal
Gaussstrasse 20
Wuppertal
Germany
No additional info

Jochen GLÜCK Germany

School of Mathematics and Natural Sciences University of Wuppertal
Gaußstrasse 20
42119 Wuppertal
Germany
No additional info

Working Group Participants

Manufaktura Admin

Jean-Bernard BRU

Sallah Eddine Boutiah

Algeria
University Ferhat Abbas Setif-1
Dept. of Mathematics, faculty of sciences. University Ferhat Abbas Setif-1. Setif, 19000, Algeria.
Setif
Algeria

András BÁTKAI

Austria
Pädagogische Hochschule Vorarlberg
Liechtensteiner Straße 33-37
Feldkirch
Austria

Jussi BEHRNDT

Austria

Anthony Hastir

Belgium
University of Namur
Rue de Bruxelles 61
Namur (B-5000)
Belgium

Joseph WINKIN

Belgium
University of Namur
Rue de Bruxelles 61, 5000 Namur, Belgium
Namur
Belgium

Ivica NAKIĆ

Croatia
University of Zagreb
Bijenička cesta 30
Zagreb
Croatia

Dijana ILIŠEVIĆ

Croatia
University of Zagreb
Bijenicka 30
Zagreb
Croatia

David KREJCIRIK

Czech Republic
Czech Technical University in Prague
Trojanova 13
Prague
Czech Republic

Borbala Gerhat

Czech Republic
Czech Technical University in Prague
Trojanova 13
Prague
Czech Republic

Lassi PAUNONEN

Finland
Faculty of Information Technology and Communication Sciences, Tampere University
Korkeakoulunkatu 10 553
Tampere
Finland
My main research interests include control of distributed parameter systems and PDEs and stability theory of strongly continuous semigroups. I am in particular interested in “polynomial stability” and “non-uniform stability” which are frequently encountered in the study of multidimensional damped wave equations and in coupled PDE models. In addition, part of my research focuses on applications of control theoretic methods in computational neuroscience.

Catherine Drysdale

France
ONERA
8 Rue des vertugadins, Meudon France 92190
Meudon
France

Nabile Boussaïd

France
Université de Franche-Comté
LMB, UFR ST, 16 route de Gray
25030 Besançon Cedex
France

Alan

France
Sorbonne university
4 pl Jussieu, 75005 Paris
Paris
France

Delio MUGNOLO

Germany
University of Hagen
Universitätstraße 11
Hagen
Germany

Christian SEIFERT

Germany
Technische Universität Hamburg
Am Schwarzenberg-Campus 3, 21073, Hamburg
Hamburg
Germany

Birgit JACOB

Germany

Agnes Radl

Germany
TU Berlin
Straße des 17. Juni 136, 10623 Berlin
Berlin
Germany

Markus Haase

Germany
Mathematisches Seminar, Kiel University
Ludewig-Meyn-Str. 4, 24118 Kiel, Germany
Kiel
Germany

Tanja Eisner

Germany
University of Leipzig
Augustusplatz 10
Leipzig
Germany

Britta Dorn

Germany
University of Tübingen
Sand, 13
Tübingen
Germany

Alexander Dobrick

Germany
Christian-Albrechts-Universität zu Kiel
Ludewig-Meyn-Straße 4
Kiel
Germany

Niklas Handke

Germany
CAU Kiel
Heinrich-Hecht-Platz 6, 24118 Kiel
Kiel
Germany

Chiara Paulsen

Germany
Kiel University
Ludewig-Meyn-Str. 4, D-24118 Kiel
Kiel
Germany

Ivan Veselic

Germany
TU Dortmund
TU Dortmund, Fakultät für Mathematik, Lehrstuhl IX, Vogelpothsweg 87, 44227 Dortmund, Germany
Dortmund
Germany

Markus Kunze

Germany
Konstanz
Universität Konstanz, Fachbereich Mathematik und Statistik , 78457 Konstanz
Konstanz
Germany

Sahiba Arora

Germany
Technical University Dresden
Technische Universität Dresden, Institut für Analysis, Fakultät für Mathematik , 01062 Dresden, Germany
Dresden
Germany

Julian Hölz

Germany
University of Wuppertal
Gaußstr. 20, 42119 Wuppertal, Germany
Wuppertal
Germany

Johannes Stojanow

Germany
Technische Universität Hamburg
Am Schwarzenberg-Campus 3
Hamburg
Germany

Rainer Nagel

Germany
Mathematisches Institut, University of Tuebingen
Auf der Morgenstelle 10
Tuebingen
Germany

Wolfgang Arendt

Germany

Noa Bihlmaier

Germany
University of Tübingen


Germany

Leon Duensing

Germany
University of Tübingen


Germany

Katharina Klioba

Germany
Technische Universität Hamburg


Germany

Petra CSOMÓS

Hungary
Eötvös Loránd University, Institute of Mathematics
Pázmány Péter sétány 1/C
Budapest
Hungary

Eszter Sikolya

Hungary
Eötvös Loránd University
Pázmány Péter stny. 1/c.
Budapest, Hungary
Hungary

Chtiba Reda

Hungary
Eötvös Loránd University
irinyi józsef utca 47
Budapest
Hungary

Mihaly Kovacs

Hungary
Pázmány Péter Catholic University
H-1083 Budapest, Práter utca 50/a.
Budapest
Hungary

Yosi KELLER

Israel
Bar Ilan
Bar Ilan University
Ramat Gan
Israel

Abdelaziz RHANDI

Italy
University of Salerno
Via Giovanni Paolo II, 132
Fisciano (Salerno)
Italy

Federica GREGORIO

Italy
Università degli Studi di Salerno
Via Giovanni Paolo II, 132
Fisciano
Italy

Raffaele CARLONE

Italy

Stefano DE LUCA

Italy

Roberta DI PACE

Italy

Lorenzo LAMBERTI

Italy

Marianna PORFIDO

Italy

Alessia Elisabetta Kogoj

Italy
Università di Urbino Carlo Bo
Piazza della Repubblica 13
Urbino (PU)
Italy

Alessandra Lunardi

Italy
Parma
Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma
Parma
Italy

Genni Fragnelli

Italy
Mathematics Department, University of Bari Aldo Moro
via E.Orabona 4, 70125
Bari
Italy

Cristian Tacelli

Italy
Department of Mathematics, University of Salerno
University of Salerno - Via Giovanni Paolo II, 132 - 84084 Fisciano (SA)
Fisciano (SALERNO)
Italy

Klaus-Jochen Engel

Italy
DISIM
Via Vetoio - I-67100 L'Aquila
L'Aquila
Italy

Alessandro Camasta

Italy
Dipartimento di Matematica, Università degli Studi di Bari Aldo Moro
Campus Universitario Ernesto Quagliariello, Via E. Orabona, 4 70125 - BARI
Bari
Italy

Alessio Barbieri

Italy
University of L'Aquila


Italy

Vincenzo Leone

Italy
Univesity of Salerno


Italy

Said HADD

Morocco

Lahcen MANIAR

Morocco



Morocco

BOUNACER Hamza

Morocco
LAMA Laboratory Faculy of Science . Ibn Zohr University
LAMA Laboratory Faculy Of Science - Agadir
Agadir
Morocco

Mohammed Moussi

Morocco
University Mohamed I, Faculty of Science
BP 717 60000 Oujda Maroc, BV Mohamed VI BP 717, Oujda 60000
Oujda
Morocco

Amine Jerroudi

Morocco
Sidi Mohamed Ben Abdellah University, National School of Applied Sciences, Fes
Ecole Nationale des Sciences Appliquées, Avenue My Abdallah Km 5 Route d'Imouzzer, Fes BP 72.
Fes
Morocco

Abderrahim Medbouhi

Morocco
Université Mohamed premier
École supérieure de technologie Oujda
Oujda
Morocco

Soufiane BOUMASMOUD

Morocco
Cadi Ayyad University
Boulevard Prince My Abdellah B.P. 2390 | 40000 Marrakech | Morocco
Marrakech, Morocco
Morocco

Abed Boulouz

Morocco
Faculty of Sciences
Ibn Zohr University
Agadir
Morocco

Marieme Lasri

Morocco
Ibn Zohr University
Bloc 11 NR 41 Bensergao
AGADIR
Morocco

Tarik Ouali Idrissi

Morocco
Sidi Mohamed Ben Abdellah University
Fes 30000
Fes
Morocco

Zakaria El Allali

Morocco
Mohammed First University, Oujda, Morocco
B.P 58
Arouit , Nador
Morocco

Chenxi Deng

Netherlands
Delft University of Technology


Netherlands

Martin LUKAREVSKI

North Macedonia
University "Goce Delcev" - Stip
"Krste Misirkov" 10-A
Stip
North Macedonia

Ivana Vojnović

Serbia
Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad
Dositej Obradović Square 4, 21000, Novi Sad, Serbia
Novi Sad
Serbia

Marjeta KRAMAR FIJAVŽ

Slovenia
University of Ljubljana
Kongresni trg 12
Ljubljana
Slovenia
Research interests: functional analysis, operator semigroups, evolution equations, dynamical networks

Marko Kandic

Slovenia
University of Ljubljana, Faculty of Mathematics and Physics
Jadranska 19
Ljubljana
Slovenia

Christian BUDDE

South African Republic
North-West University
School of Mathematics and Applied Mathematics, Building G3, Room 125, 11 Hoffman Street
2531 Potchefstroom, South Africa
South African Republic

EL GANTOUH YASSINE

Spain
Departamento de Matemáticas UAM
C/ Francisco Tomás y Valiente, 7 Facultad de Ciencias, módulo 17, 28049 Madrid, Spain
Madrid
Spain

Tretter, Christiane

Switzerland
University of Bern
Sidlerstr. 5
3012 Bern
Switzerland

OZGUR YILDIRIM

Turkey
Yildiz Technical University
Davutpasa Campus, Faculty of Arts and Sciences, Department of Mathematics, E Blok, E-2015, Esenler, Istanbul
Istanbul
Turkey

Berke Ünal

Turkey
Koç University,


Turkey

David SEIFERT

United Kingdom
Newcastle University
Herschel Building
Newcastle upon Tyne
United Kingdom

Matthias Langer

United Kingdom
Department of Mathematics and Statistics, University of Strathclyde
26 Richmond Street Glasgow G1 1XH
Glasgow
United Kingdom

Lyonell Boulton

United Kingdom
Heriot-Watt University
Maxwell Institute for Mathematical Sciences and Department of Mathematics, Heriot-Watt University, Edinburgh, EH14 4AS, Scotland - UK
Edinburgh
United Kingdom

George Farmakis

United Kingdom
Heriot-Watt University Edinburgh


United Kingdom

Andrew Pritchard

United Kingdom
Newcastle University


United Kingdom
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