Rainer Nagel

A. Rhandi, R. Nagel Semigroup Applications Everywhere Philosophical Transactions of the Royal Society Vol. 378, Issue 2185 (2020) Link zur Publikation
T. Eisner, B. Farkas, M. Haase, R. Nagel Operator Theoretic Aspects of Ergodic Theory Graduate Texts in Mathematics. Springer, to appear, 2015. Link zu Springer Operator Theoretic Aspects of Ergodic Theory (PDF)
K. Engel, R. Nagel A Short Course on Operator Semigroups Universitext. Springer-Verlag, New York, Berlin, Heidelberg, 2006. A Short Course on Operator Semigroups (PDF)
M. Ianelli, R. Nagel, S. Piazzera (eds.) Functional Analytic Methods for Evolution Equations Lecture Notes in Mathematics, 1855. Springer-Verlag, 2004.
G. R. Goldstein, R. Nagel, S. Romanelli (eds.) Evolution Equations 234. Dekker Series of Lecture Notes, 2002.
K. Engel, R. Nagel One-Parameter Semigroups for Linear Evolution Equations Graduate texts in mathematics, 194. Springer-Verlag, New York, Berlin, Heidelberg, 1999. One-Parameter Semigroups for Linear Evolution Equations
R. Derndinger, R. Nagel, G. Palm Ergodic Theory in the Perspective of Functional Analysis (preprint 1987)
W. Arendt, A. Grabosch, G. Greiner, U. Groh, H. Lotz, U. Moustakas, R. Nagel, F. Neubrander, U. Schlotterbeck One-parameter Semigroups of Positive Operators  (1986)

Key Publications

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. NHM 3 (2008), 709-722.
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.
25. K.-J. Engel, M. Kramar Fijavz, B. Klöss, R. Nagel and E. Sikolya: Maximal Controllability for Boundary Control Problems, Applied Mathematics and Optimization 62 (2010), 205-227