Wolfgang Arendt

Research interests

Functional analysis and partial differential equations:

  • evolution equations
  • strongly continuous semigroups
  • vector-valued Laplace transforms
  • geometry of Banach spaces and evolution equations
  • elliptic operators
  • Schrödinger semigroups

Selected Publications

Full list of publications and preprints

  • Wolfgang Arendt, Does diffusion determine the body?, J. Reine Angew. Math. 550 (2002), 97–123. DOI: 10.1515/crll.2002.076
  • Wolfgang Arendt und Shangquan Bu, Operator-valued Fourier multipliers on periodic Besov spaces and applications, Proc. Edinb. Mat. Soc. (2) 47 (2004), no. 1, 15–33. DOI: 10.1017/S0013091502000378
  • Wolfgang Arendt und Michal Chovanec, Dirichlet regularity and degenerate diffusion, Trans. Amer. Math. Soc. 362 (2010), no. 11, 5861–5878. DOI: 10.1090/S0002-9947-2010-05077-9
  • Wolfgang Arendt und Nikolai Nikolski, Vector-valued holomorphic functions revisited, Math. Z. 234 (2000), no. 4, 777–805. DOI: 10.1007/s002090050008
  • Wolfgang Arendt und Reiner Schätzle, Semigroups generated by elliptic operators in non-divergence form on C0(Ω), Ann. Scuola Normale di Pisa, to appear. Link to arxiv-version

Editorial Responsabilities

1994–Editor of Archiv der Mathematik, Birkhäuser
1996–Editor of “Positivity, Kluwer/Birkhäuser
2000–Editor in Chief of Journal of Evolution Equations, Birkhäuser
2008–Editor of “Czechoslovak Mathematical Journal
2010–Associate Editor of “Operator Theory Monograph Series, Birkhäuser
2012–Editor of “Concrete Operators, de Gruyter

Academic Career

1974Maîtrise University of Nice, France
1975Diplom in Mathematics (Dipl.-Math.), University of Tübingen
1979PhD in Mathematics (Dr. rer. nat.), University of Tübingen
Advisor: H. H. Schaefer
1985Habilitation at University of Tübingen in Mathematics (Dr. habil.)
1976–80Assistant at University of Tübingen
1980–81Postdoc at University of California, Berkley, DFG grant;
Advisor: T. Kato
1981–87Assistant (C1) at University of Tübingen
1987–92Professeur at University of Besançon, France
1992–95Professeur 1ère classe at University of Besançon, France



offer: Chair at the University of Saarbrücken, declined.

Full Professor (C4) at University of Ulm


1999Merckle Research Prize

Former PhD students in academic positions

Full list of former PhD students
Full list of current PhD students

  • Matthias Hieber, Technische Universität Darmstadt, Germany
  • Abdelaziz Rhandi, University of Salerno, Italy
  • El Maati Ouhabaz, Université Bordeaux 1, France
  • Omar El Mennaoui, University of Agadir, Morocco
  • Valentin Keyantuo, University of Puerto Rico
  • Sylvie Monniaux, Université Aix-Marseille, France
  • Ralph Chill, TU Dresden, Germany
  • Mahamadi Warma, University of Puerto Rico
  • Markus Haase, Kiel University, Germany

Research stays

1986Guest Professor, University of Nancy, France (1 month)
1986Guest Professor, University of Oxford, Great Britain (2 months)
1988ANU Canberra, Australia (1 month)
1990-91Guest Professor, University of Zürich, Switzerland (6 months)
1993Guest Professor, University of Oxford, Great Britain (1 month)
1998University of California, Berkley, USA (6 months)
2002University of Sydney, Australia (1 month)
2005University of Lecce, Italy (1 month)
2006University of Sydney, Australia (1 month)
2007University of Stanford, USA (3 months)
2008University of Auckland, New Zealand (1 month)
2009Nicolaus Copernicus University, Toruń, Poland (1 month)
2013University of Auckland, New Zealand (3 months)


  • Prof. Dr. Wolfgang Arendt
    Institute of Applied Analysis
    University of Ulm
  • 89069 Ulm
  • Germany

Office hours

Monday, 14:00 to 15:00 and
on appointment