Funktionen

1. Chef der AG Funktionalanalysis Tübingen und des AGFA-TRI-TEAM
2. Finisher des Empfingen Triathlon

Operatorhalbgruppen, lineare Evolutionsgleichungen und abstrakte Cauchyprobleme

Im Speziellen:

1. funktionalanalytische und Spektral-Methoden
2. Positivität
   
3. Ergodische und asymptotische Eigenschaften
4. Anwendung auf dynamische Systeme, Systeme von partiellen Differentialgleichungen, Delay-Gleichungen und Populationsgleichungen, Kontrolltheorie.

1. R. Nagel (ed): One-parameter Semigroups of Positive Operators. Lecture Notes Math 1184, Springer-Verlag 1986.
2. R. Nagel: Towards a "matrix theory" for unbounded operator matrices. Math. Z., 201, 57-68 (1989).
3. R. Nagel: Order in pure and applied functional analysis. Atti Sem. Mat. Fis. Univ. Modena 39, 87-101 (1991).
4. R. Nagel, F. Räbiger: Superstable operators on Banach spaces. Israel J. Math. 81, 213-226 (1993).
5. R. Nagel: Semigroup methods for non-autonomous Cauchy problems. In: G. Ferreyra, G. Ruiz Goldstein, F. Neubrander (eds.): Evolution Equations. Lect. Notes Pure Appl. Math. 168, 301-316 (1995).
6. R. Nagel, G. Nickel, S. Romanelli: Identification of extrapolation spaces for unbounded operators. Quaestiones Mathematicae 19, 83-100 (1996).
7. R. Nagel, E. Sinestrari: Nonlinear hyperbolic Volterra integrodifferential equations. Nonlinear Analysis 27, No. 2, 167-186 (1996).
8. R. Nagel: Characteristic equations for the spectrum of generators. Ann. Scuola Sup. Pisa, Serie IV, 24, Fasc. 4, 703-717 (1997).
9. R. Nagel, J. Poland: The critical spectrum of a strongly continuous semigroup. Advances Math. 152 , 120-133 (2000)
10. S. Brendle, R. Nagel, J. Poland: On the spectral mapping theorem for perturbed strongly continuous semigroups. Archiv Math. 74 , 365-378 (2000)
11. M. Blake, S. Brendle, R. Nagel: On the structure of the critical spectrum of strongly continuous semigroups. Evolution equations and their applications in physical and life sciences (Bad Herrenalb, 1998), 55-65, Lecture Notes in Pure and Appl. Math., 215, Dekker, New York, 2001.
12. S. Brendle, R. Nagel: PFDE with nonautonomous past. Discrete Contin. Dyn. Syst. 8, 953-966 (2002).
13. R. Nagel, G. Nickel: Wellposedness for nonautonomous abstract Cauchy problems. Evolution equations, semigroups and functional analysis (Milano, 2000), 279--293, Progr. Nonlinear Differential Equations Appl., 50, Birkhäuser, Basel, 2002.
14. V. Casarino, K-J. Engel, R. Nagel, G. Nickel: A semigroup approach to boundary feedback systems. Integral Equations Operator Theory 47, 289--306 (2003).
15. M. Kramer, D. Mugnolo, R. Nagel: Theory and applications of one-sided coupled operator matrices. Conf. Sem. Mat. Univ. Bari 283 (2002), 1-29.
16. Jin Liang, R. Nagel, Ti-Jun Xiao:Nonautonomous heat equations with dynamic boundary conditions. J. Evolution Equations, J. Evolution Equations 3 (2003), 321-331.
17. Nguyen Thieu Huy, R. Nagel: Linear neutral partial differential equations, a semigroup approach. Int. J. Math. Math. Sci. 23 (2003), 1433-1446.
18. R. Nagel: Some open problems in the theory of C₀-semigroups, in: S. Romanelli et al.: Interplay between C₀-semigroups and PDEs; Theory and Applications. Bari 2004, 193-196.
19. R. Nagel, E. Sinestrari: The Miller scheme in semigroup theory. Advances Diff. Equ. 9 (2004), 387-414.
20. R. Nagel, E. Sinestrari: Extrapolation spaces and minimal regularity for evolution equations.J. Evol. Equations 6 (2006), 287-303.
21. K.-J. Engel, M. Kramar, R. Nagel, E. Sikolya: Vertex control of flows in networks. Preprint.
22. T. Eisner, B. Farkas, R. Nagel, A. Sereny: Weakly and almost weakly stable C₀-semigroups. Int. J. Dyn. Syst. Diff. Equ. 1 (2007), 44-57.
23. J. Lian, R. Nagel, T. Xiao: Approximation theorems for the propagators of higher order abstract Cauchy problems. Trans. Amer. Math. Soc 360 (2008), 1723-1739.
24. V. Keicher, R. Nagel: Positive semigroups behave asymptotically as rotation groups. Positivity 12 (2008), 93-103.
    

Click here to see the complete list of publications.

von

• Journal of Evolution Equations (editor-in-chief)
• Semigroup Forum (executive editor)
  
• International Journal of Dynamical Systems and Differential Equations (IJDSDE)
• Journal of Concrete and Applicable Mathematics (JCAAM)
  
• Positivity
• Tübinger Berichte zur Funktionalanalysis
• Hacettepe Journal of Mathematics and Statistics

• Schwimmen + Radfahren + Laufen = Triathlon (Ironman Hawaii 2002, Hawaii 1999)
  
• Schwäbisch-apulische Aktivitäten
  
• Rom-Seminare

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